Question

Someone please help, I suck at these :((

Answer 1

Length = 21 m and width = 16 m.

Explanation:

Perimeter = 2L + 2W where L= the length and W = the width.

We are given that L = W + 5 so as the perimeter is 74 m we substitute L = W + 5 in the formula for the perimeter and we get the equation:

2(W + 5) + 2W = 74

2W + 10 + 2W = 74

4W + 10 = 74

4W = 74 - 10

4W = 64

W = 16

So L = 16 + 5 = 21.

Answer 2

Explanation:

Let the width w = x

Length l = x + 5

Perimeter = 74m

Perimeter = 2(l +w)

74 = 2(x + x + 5)

Dividing through by 2

74/2 = 2(2x + 5)/2

37 = 2x + 5

37 - 5 = 2x

32 = 2x

Dividing by 2

32/2 = 2x/2

16 = x

Width w = x = 16m

Length l = x + 5 = 16 + 5 = 21m