Let x be the length of side AB and y be the length of side BC. Given that the ratio of AB to BC is 4:3, we can express y in terms of x as y = (3/4)x. The perimeter of the triangle ABC is x + y + (x + (3/4)x) = 64 units. Simplifying, we get 2.75x = 64, so x = 64 / 2.75 = 23.27 units. Therefore, the shortest side of triangle ABC is the side AC, which is 20 less than the sum of AB and BC, so AC = x + y - 20 = 23.27 + 17.45 - 20 = 20.72 units.
To find the ratio of the length of a shape to its perimeter, you would divide the length by the perimeter. For example, if the length of a rectangle is 4 units and its perimeter is 12 units, the ratio would be 4/12 or 1/3. This ratio represents the proportion of the length to the total distance around the shape.
These are not similar rectangles so there is no obvious candidate for the ratio. Is it ratio of lengths (sides, perimeter, diameter), or ratio of area?
Area = length x length Therefore the ratio of areas of two similar objects is the square of the ratio of lengths. Lengths - 1 : 41 Areas - 12 : 412 = 1 : 1681
The width is half the length: The perimeter is twice the length plus twice the width. If the perimeter is 3 times the length, twice the width must be the length.
4 to 1.
The ratios of areas are the squares of the ratio of lengths (and the ratio of volumes are cubes of the ratio of lengths). As the perimeter of the second is twice the perimeter of the first, each length of the second is twice the length of the first, and so the ratio of the lengths is 1:2 Thus the ratio of the areas is 1²:2² = 1:4. Therefore the surface area of the larger prism is four times that of the smaller prism.
To find the ratio of the length of a shape to its perimeter, you would divide the length by the perimeter. For example, if the length of a rectangle is 4 units and its perimeter is 12 units, the ratio would be 4/12 or 1/3. This ratio represents the proportion of the length to the total distance around the shape.
As volume is length x length x length, cube the ratio of the lengths, thus: Ratio of lengths = 2 : 5 ⇒ Ratio of volumes = 23 : 53 = 8 : 125
These are not similar rectangles so there is no obvious candidate for the ratio. Is it ratio of lengths (sides, perimeter, diameter), or ratio of area?
1:1.23
If the length to width ratio is 4 to 5 then the length to width ratio is 4 to 5no matter what the perimeter. If the perimeter is 70 feet then the sides are 15.555... and 19.444... feet respectively.
It is the same.
You divide the length of the shortest side by the length of the longest side.
Shortest side -------------------- Longest side
If lengths are in the ratio a:b, then areas are in the ratio a2:b2 since area is length x length. If areas are in the ratio c:d, then lengths are in the ration sqrt(c):sqrt(d). Areas of decagons are 625sq ft and 100 sq ft, they are in the ratio of 625:100 = 25:4 (dividing through by 25 as ratios are usually given in the smallest terms). Thus their lengths are in the ratio of sqrt(25):sqrt(4) = 5:2 As perimeter is a length, the perimeters are in the ratio of 5:2.
Area = length x length Therefore the ratio of areas of two similar objects is the square of the ratio of lengths. Lengths - 1 : 41 Areas - 12 : 412 = 1 : 1681
The width is half the length: The perimeter is twice the length plus twice the width. If the perimeter is 3 times the length, twice the width must be the length.