Question

THE QUESTION IS IN THE PICTURE

Answer 1

Answer: 36 square meters

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Step-by-step explanation:

length = L = 2x

width = W = x+3

The order of L and W doesn't matter.

P = perimeter of a rectangle

P = 2(L+W)

P = 2(2x+x+3)

P = 2(3x+3)

P = 6x+6

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Set this equal to the stated perimeter (24 meters) and solve for x.

6x+6 = 24

6x = 24-6

6x = 18

x = 18/6

x = 3

Now we can determine the dimensions of this rectangle.

• L = 2x = 2*3 = 6 meters
• W = x+3 = 3+3 = 6 meters

It turns out this rectangle is also a square since L = W.

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Multiply the length and width to get the area.

A = L*W

A = 6*6

A = 36 square meters

Answer 2

Step-by-step explanation:

Sum of all the sides = Perimeter

2x + x + 3 + 2x + x + 3 = 24

2x + x + 2x +x + 3 + 3 = 24

6x + 6 = 24

6x = 24 - 6

6x = 18

x = 18/6

x = 3

length = 2x = 2*3 = 6 m

Width =x + 3 = 3 + 3 = 6 m

Area = length *width

= 6*6

= 36 square cm