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 4 meters longer than each side of the square. Find the dimensions of the garden.

Answer 1

Answer: We know:

the triangle gardern(garden A) and the square garden(garden B) have the same perimeter.

This may sound obv, but it's important: garden A has 1 less side then garden B, which is why it can have longer sides but the same perimeter.

So side A1 + side A2 + side A3 = side B1 + side B2 +  side B3 + side B4.

A1 + A2 + A3 = B1 + B2 + B3 + 15(the extra length on the triangle sides)

Since B is a square, B = 15 m by 15 m.

I don't know enough about triangle to put the dementions, but it's an equilateral triangle so the sides are 20 m each.  Hope that helps! :)