The ratio of the width to the length of a triangle is 4:15. If the perimeter of the rectangle is 152 meters, find the area of the rectangle.

Answer 1

Ratio (w/l) of a RECTANGLE is 4:15. If the perimeter is 152 meters, find the area of the rectangle.

1. Perimeter 2W + 2L = 152
2. W = X, L = (15/4)X
3. 152 = 2(X) + 2(15/4(X))
4. 152 = 2X + 15/2(X)
5. 152 = 9.5(X)
6. X = 16 (width) L = 60
7. Area = 960 meters²

I hope this helps!

Answer 2

4/15 = W/L, i.e. W = 4L/15

Perimeter: 2(L+W)=152 => L+W = 76 and L + 4L/15 = 76

19L = 76 * 15 => L = 60

W = 16

Then area = 60 * 16