A square has sides 10x. Write and simplify an expression for the perimeter of that square.

A rectangle has a length of 2x+7 and a width of 3x+8y. Write and simplify an expression for the perimeter of that rectangle.

1. Square:

There are 4 equal sides of a square, so Perimeter = side length * 4

Perimeter expression - (4) 10x

The perimeter of the square is 40x

2. Rectangle:

There are 4 unequal sides of a rectangle, so Perimeter = 2l + 2w

Length: 2x+7

Width: 3x+8y

Perimeter expression - 2 (2x+7) + 2 (3x+8y)

(2x+7) * 2 = 4x + 14

(3x+8y) * 2 = 6x+16y

(4x + 14) + (6x + 16y)

4x+6x + 16y+14

The perimeter of the rectangle is 10x + 16y + 14

Perimiter of a square

square has 4 equal sides

so if th legnth of 1 side is x then total perimiter=4x

legnth of side is 10x

therfor perimiter=40x

rectanglepermiter has 2 pairs of sides with same legnth

RP=2L+2W=2 (L+W)

L=2x+7

W=3x+8y

so

RP=2 (2x+7+3x+8y)

RP=2 (5x+8y+7)

RP=10x+16y+14

square=40x

rectangle=10x+16y+14