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Let the shorter base be ( b ) and the longer base be ( 3b ). The height is given as the average of the two bases, which is ( \frac{b + 3b}{2} = 2b ). The area of the trapezoid is given by the formula ( \text{Area} = \frac{1}{2} \times (b + 3b) \times \text{height} ), leading to ( 112 = \frac{1}{2} \times 4b \times 2b ). Simplifying gives ( 112 = 4b^2 ), so ( b^2 = 28 ) and ( b = \sqrt{28} = 2\sqrt{7} ). Therefore, the longer base is ( 3b = 6\sqrt{7} ) yards.
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Is the length of the midsegment of a trapezoid equal to the sum of the lengths of the bases?
No, the length of the midsegment of a trapezoid is equal to the average of the lengths of the bases. The sum of the lengths of the bases would typically yield a longer length than the midsegment.
Is a leg of a trapezoid longer than its base?
They could be, but to form a trapezoid, They doesn't have to be. The legs of the trapezoid can be any length, so long as the the bases are parallel to one another.
Is there a correlation between inseam length and average stride length?
Yes, there is generally a correlation between inseam length and average stride length, as both measurements are influenced by an individual's height and leg length. Taller individuals tend to have longer inseams and usually take longer strides. However, the exact correlation can vary based on factors such as body proportions, walking style, and fitness level. While a longer inseam may suggest a longer stride, it's not a strict rule, as individual biomechanics play a significant role.
What is the formula in getting the height of a rectangle?
lenght times height == If it rests on one of the shortest sides , then the altitude is the length of the longer side. If it rest on one of the longer sides, then the altitude is the length of the shortest side. If it is the special case of a square, then any side is an altitude.
How do you prove that the base of a trapezoid is twice the length of a side?
U don't, because it isn't true. Draw a trapezoid. Now lengthen the base and the other parallel edge by any amount u want (the same amount, of course). U now still have a trapezoid, but the base is longer and the sides are the same as they were before.
Is the length of the midsegment of a trapezoid equal to the sum of the lengths of the bases?
No, the length of the midsegment of a trapezoid is equal to the average of the lengths of the bases. The sum of the lengths of the bases would typically yield a longer length than the midsegment.
Do men have longer limbs than women?
Limb length is generally a factor of the height of a person. Normal development dictates that the limb length be proportionate to height. As the average height of men is more than that of women, it can be said that men have longer limbs than women.
Is a leg of a trapezoid longer than its base?
They could be, but to form a trapezoid, They doesn't have to be. The legs of the trapezoid can be any length, so long as the the bases are parallel to one another.
What is the average length of female arms?
I thInk it's to do with your height if you are tall your arms will be a bit longer I THINK
Is there a correlation between inseam length and average stride length?
Yes, there is generally a correlation between inseam length and average stride length, as both measurements are influenced by an individual's height and leg length. Taller individuals tend to have longer inseams and usually take longer strides. However, the exact correlation can vary based on factors such as body proportions, walking style, and fitness level. While a longer inseam may suggest a longer stride, it's not a strict rule, as individual biomechanics play a significant role.
How many triangles are in a trapezoid?
A trapezoid can be divided into multiple triangles depending on how it is dissected. At minimum, a trapezoid will contain two triangles - the larger triangle formed by the longer base and the height of the trapezoid, and the smaller triangle formed by the shorter base and the height. However, additional triangles can be formed by drawing diagonals within the trapezoid, increasing the total number of triangles.
Does a trapezoid have 4 equal sides?
No, a trapezoid does not have 4 equal sides.
Which way is length?
Length is the horizontal measurement and the vertical one is height. If there are 2 horizontal ones then length is the longer one, and the other one is breadth, or width.
What is the formula in getting the height of a rectangle?
lenght times height == If it rests on one of the shortest sides , then the altitude is the length of the longer side. If it rest on one of the longer sides, then the altitude is the length of the shortest side. If it is the special case of a square, then any side is an altitude.
How area of parellogram help find area of trapezoid?
A parallelogram is a degenerate trapezoid: as the longer of the parallel sides of a trapezoid shrinks to the length of the shorter parallel side, the trapezoid becomes a parallelogram. It is truer to say that the area of a trapezoid helps to find the area of a parallelogram: area_trapezoid = mean_average_of_parallel_sides x distance_between_them = 1/2 sum_parallel_side_lengths x distance_between_them When the parallel sides are of equal length this becomes: area = (1/2 x 2 x length_of_parallel_sides) x distance_between_them = length_of_parallel_sides x distance_between_them = area_parallelogram
Does the length or height of your car determine how much gas it uses?
the height more than the length because of the aerodynamic drag, the length more likely to hurt fuel mileage only because of added weight of a longer car
How do you prove that the base of a trapezoid is twice the length of a side?
U don't, because it isn't true. Draw a trapezoid. Now lengthen the base and the other parallel edge by any amount u want (the same amount, of course). U now still have a trapezoid, but the base is longer and the sides are the same as they were before.
