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What is the height of a trapezoid whose height is the same length as its smaller base with the other base being 2 cm greater and has an area of 42 sq cm?
Let the bases be x+2, x and the height be x because it's the same size as the smaller base:
1/2*(sum of parallel bases)*height = area
1/2*(x+2+x)*x = 42 sq cm
Multiply both sides by 2:
(x+2+x)*x = 84
Multiply out the brackets:
x2+2x+x2 = 84
2x2+2x-84 = 0
Solving the above quadratic equation works out as:
x = -7 or x = 6 it must be the latter because dimensions can't be negative.
Therefore: height = 6 cm
Check: 1/2*(8+6)*6 = 42 sq cm
What else can I help you with?
What is the formula for the height of the trapezoid?
Length times width
What is the area of a trapezoid with a length of 7 height of 3 and a width of 12?
Area of a trapezoid = 0.5*( sum of parallel sides)*height
What is the formula can you use to find out the area of a trapezoid?
Area of a trapezoid = (1/2) x (height) x (length of the base + length of the top)
Formula for volume of a trapezoidal prism?
the volume of a trapezoidal prism is equal to the height times the base area of the trapezoid. First you find the area of trapezoid h(a+b)/2 h is the height of the trapezoid, not the height of the prism a is the length of the top b is the length of the bottom Then you find the volume of the trapezoidal prism with this formula H*h(a+b)/2 H is the height of the prism. Multiply H by the area of the trapezoid that you found in step one.
What is the width of a trapezoid if the length is 3.5 inches?
Any value greater than 0.
Is the area of a trapezoid equal to the products of the height and the length of the midsegment?
Area of a trapezoid = 0.5*(sum of parallel sides)*height
What is the formula for the height of the trapezoid?
Length times width
Is a PSP smaller than a psvita?
The PSP is about the same height, shorter length, and greater depth.
What is the area of a trapezoid with a length of 7 height of 3 and a width of 12?
Area of a trapezoid = 0.5*( sum of parallel sides)*height
What is the formula can you use to find out the area of a trapezoid?
Area of a trapezoid = (1/2) x (height) x (length of the base + length of the top)
Find the area of this trapezoid All length measures are in centimeters?
The area of a trapezoid is equal to the height, multiplied by the average of the two widths.
In an isosceles trapezoid the longest base is 11 a leg is 5 and the height is 4 Find the length of the shorter base of the trapezoid?
ok
True or false the area of a trapezoid is equal to the product of the height and the length of the mid-segment?
False because the area of a trapezoid is: 0.5*(sum of its parallel sides)*height
Does the area of the trapezoid double if the height double?
If the base length b and the top length a remain the same, then the area will double if the height his doubled.Area = ((a+b) x h ) / 2Please note that a trapezoid has the top a and base b parallel.
Formula for volume of a trapezoidal prism?
the volume of a trapezoidal prism is equal to the height times the base area of the trapezoid. First you find the area of trapezoid h(a+b)/2 h is the height of the trapezoid, not the height of the prism a is the length of the top b is the length of the bottom Then you find the volume of the trapezoidal prism with this formula H*h(a+b)/2 H is the height of the prism. Multiply H by the area of the trapezoid that you found in step one.
What is the width of a trapezoid if the length is 3.5 inches?
Any value greater than 0.
What is the area of trapezoid with bases 8 inch and 12.5 inches and the height of 6 inches?
The area of any trapezoid is 1/2 times (length of one base plus length of the other base) times (height). You ought to be able to handle it from there.
