Question

Two gardens are being fenced in. Both gardens will require the same amount of fencing​ (both gardens have the same perimeter in​ meters). One garden is in the shape of a square and the other is in the shape of an equilateral triangle. Each side of the triangle is 3 meters longer than each side of the square. Find the dimensions of the garden?

Answer 1

Dimensions of the square garden = 9 meters by 9 meters

Dimensions of the triangular garden = 12 meters

Explanation:

Let the measure of a side of the square garden = x meters

Perimeter of the square = 4x meters

Since each side of the triangle is 3 meters longer than each side of the square, side of the triangle will measure = (x + 3)

Perimeter of the equilateral triangle = 3(x + 3) meters

Perimeter of the square = perimeter of equilateral triangle

4x = 3(x + 3)

4x = 3x + 9

4x - 3x = 9

x = 9 meters

Dimensions of the square garden = 9 meters by 9 meters

Dimensions of the triangular garden = 12 meters