Question

A rectangular swimming pool is surrounded by a cement walkway with the dimensions shown.

Length: 22 ft
Width: 3 ft
Height: 5x ft

Write an expression, in factored form, that represents the area of the cement walkway.

Answer 1

The expression that represents the area of the cement walkway is   11 ( 12 + 32x)

How to determine the area

The formula for area of a rectangular prism is given as;

Area = 2 ( wl + hw + h )

Where;

• width, w = 3ft
• height, h = 5x ft
• length, l = 22ft

Now, let's substitute into the formula for area;

Area = 2 {3(22) + 5x(3) + 22(5x) }

expand the bracket

Area = 2 { 66 + 15x + 110x }

collect like terms

Area = 2{66 + 176x}

Area = 132 + 352x

Area = 11 ( 12 + 32x)

Thus, the expression that represents the area of the cement walkway is   11 ( 12 + 32x)

Learn more about a rectangular prism here:

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