The side of a square is 4cm longer than the side of an equilateral triangle. The perimeter of the square is 24cm more than the perimeter of the triangle. Find the lengths of a side of the square and a side of the triangle.

Mehlqv

Mehlqv

Answered question

2022-08-02

The side of a square is 4cm longer than the side of an equilateral triangle. The perimeter of the square is 24cm more than the perimeter of the triangle. Find the lengths of a side of the square and a side of the triangle.

Answer & Explanation

Gaige Burton

Gaige Burton

Beginner2022-08-03Added 16 answers

let x = side of a square
y = side of an equilateral triangle
The side of a square,x, is 4cm longer than the side of anequilateral triangle,y, translates as
x = y + 4
The perimeter of the square is 24cm more than the perimeter ofthe triangle translates as
4x = 3y + 24
Solve this system of equation by substitutilon.
4(y + 4) = 3y + 24
4y + 16 = 3y + 24
y = 8
x = 8 + 4 = 12
Therefore, the side of a square = 12,
side of an equilateral triangle = 8.

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