Question

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Answer 1

a) 15.5 cm

b) 37.2 cm

Explanation:

For part a you would write 4(x+1) because perimeter is adding the sides and all sides of a square are equal. then you would set that equal to 66 and get 4(x+1)=66 and then distribute the 4 and get 4x+4=66 and then subtract the 4 from 66 and get 4x=62. Then you divide 62 by 4 and get 15.5.

For part b you do essentially the same thing but set it equal to 152.8 and get 4(x+1)=152.8 and then distribute the 4 to get 4x+4=152.8 then subtract the 4 and get 148.8 and then divide that by 4 and get 37.2.

Answer 2

Explanation:

a) Length = (x +1) cm

Perimeter of square = 66 cm

4 * length = 66

4* (x +1) = 66

Divide both sides by 4

`(4*(x +1))/(4)=(66)/(4)`

x + 1 = 16.5

Subtract 1 from both sides,

x = 16.5 -1

x = 15.5 cm

b) Length = (x +1) cm

Perimeter of square = 152.8 cm

4 * length = 152.8

4* (x +1) = 152.8

Divide both sides by 4

`(4*(x +1))/(4)=(152.8)/(4)`

x + 1 = 38.2

Subtract 1 from both sides,

x = 38.2 -1

x = 37.2 cm