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 (b) 48 cm

Explanation:

Divide the perimeter of the square over 4 to get the side length s.

s = P/4

s = 48/4

s = 12

The side length of the square is 12 cm. This leads to an area of...

A = s^2

A = 12^2

A = 144

The area of the square is 144 square cm.

The rectangle is 4 cm^2 less than the square's area, so we know the rectangle has area 144-4 = 140 cm^2.

If the length of the rectangle is 14 cm, then the width must be

W = A/L

W = 140/14

W = 10

This is a 14 cm by 10 cm rectangle (note how 14*10 = 140)

The last step is to compute the perimeter of the rectangle

P = 2(L+W)

P = 2(14+10)

P = 2*24

P = 48

You can use the formula P = 2L+2W, but it's effectively the same thing.

The perimeter of the rectangle is 48 cm.

answer: 59

step-by-step explanation:

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