Question

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.

Answer 1

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

Answer 2

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