Question

a. You can think about the total area of the surface of the pool as the sum of the areas of the

swimming sections and the other sections. Write an expression that represents this way

of thinking about the total area of the surface.

area of swimmers sections + area of other sections

8 + x

8 + x

25

7

Answer 1

The total area of the surface of the pool is 32x + 256

What is the area of a shape?

The area of a shape is defined as the amount of space the shape occupies

The pools have the shape of a rectangle, and their dimensions are given as:

• Pool 1: 8 + x by 25
• Pool 2: 7 by 8 + x

The areas of both pools is calculated as:

$A_1 = (8 + x) \times 25$

$A_2 = 7 \times (8 + x)$

The total area of the surface of the pool is then calculated as:

$A =A_1 + A_2$

So, we have:

$A = (8 + x) \times 25 + 7 \times (8 + x)$

Expand

$A = 200+ 25x + 56 + 7x$

Collect like terms

$A = 25x + 7x+200 + 56$

$A = 32x+256$

Hence, the total area of the surface of the pool is 32x + 256

Read more about areas at:

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