Question

PLEASE HELP and HURRY!!! I have a few minutes to turn it in

Answer 1

`\Large \boxed{\mathrm{square: 15 \ meters}} \\\\ \Large \boxed{\mathrm{triangle: 20 \ meters}}`

Explanation:

The perimeter of a square is
`\sf P=4s`, where s is the side length.

The perimeter of an equilateral triangle is
`\sf P=3a`, where a is the side length.

The side length of the equilateral triangle is 5 more than the side length of the square.

`\sf a = s+5`

The perimeter of the square and equilateral triangle are equal.

`\sf 4s=3(s+5)`

Expanding brackets.

`\sf 4s=3s+15`

Subtracting 3s from both sides.

`\sf s=15`

The side length of the square is 15 meters.

`\sf a=15+5 \\\\\\ a=20`

The side length of the triangle is 20 meters.

Answer 2

The side of the square is 15m

The side of the triangle is 20m

Explanation:

P square = 4s where s is the side length

P triangle = 3 x where x is the side length

x = s+5

The perimeters are equal

4s = 3x

Replace x with s+5

4s = 3(s+5)

Distribute

4s = 3s+15

Subtract 3s from each side

4s-3s = 15

s = 15

The side of the square is 15

x =s+5

=15+5

= 20

The side of the triangle is 20