Answer:
x=10
Step-by-step explanation:
The two triangles are similar since each triangle is the same shape of right triangle but different sizes. To find x, write a proportion between two equal ratios of side lengths.
Solve by cross multiplying.
28(3x) = 20(4x+2)
84x = 80x + 40
4x = 40
x=10
Area of sandbox = 169 square feet
Area of square with side 'x' is given by the formula =
We have to determine the total length of wood Drew needs to make the sides of the sandbox.
Total length of wood required would be equal to perimeter of sandbox.
Let 'a' be the side of the square sandbox.
So, Area of sandbox = 169
a = 13 feet
Total length of wood required to make sides of the sandbox = Perimeter of the square sandbox =
=
= 52 feet.
Therefore, 52 feet of wood is required to make the sides of the square sandbox.