Question

The figure shows a walkway around a swimming pool. The width of the walkway is 4 1/2 ft all the way aroundWhat is the area of the walkwayA 605 ft2B 1,251 ft2C 2'682 ft2B 3,675 ft2LAST QUESTION OF THE DAY HELP ME OUT!!!

Answer 1

First, we have to transform the mixed number into a fraction.

$4\frac{1}{2}=\frac{4\cdot2+1}{2}=\frac{8+1}{2}=\frac{9}{2}$

The width of the walkway is 9/2 feet.

Notice the length of the small rectangle is 30 feet. We have to sum 9/2 twice to 30 because the width of the walkway is on both sides like the image below shows.

The sum for the length of the walkway is

$\frac{9}{2}+30+\frac{9}{2}=30+\frac{9+9}{2}=30+\frac{18}{2}=30+9=39$

The length of the walkway is 39 feet.

The sum for the width is

$\frac{9}{2}+100+\frac{9}{2}=100+\frac{9+9}{2}=100+\frac{18}{2}=100+9=109$

The width of the walkway is 109 feet.

Now, to find the area we multiply the length and the width.

$A=39\cdot109=4,251ft^2$

However, we have to subtract the area of the smaller rectangle to find the actual area of the walkway.

$A_{small}=100\cdot30=3000ft^2$

Then,

$A_{walk}=A-A_{small}=4,251-3000=1,251ft^2$

Therefore, the answer is B.