The Walters' backyard pool is rectangular in shape and is similar to the rectangle formed by their fenced backyard. The pool measures 10 ft long and 8 ft wide. If the length of the backyard is 35 ft long, what is the width of the backyard?
Math - Henry, Monday, December 5, 2016 at 7:08pm
10/35 = 8/W. W = ?.
Henry said:
10/35 = 8/W
then
10W = 280
W = 28
76.09
To find the width of the backyard, we can set up a proportion using the given information.
The length of the pool (10 ft) is to the length of the backyard (35 ft) as the width of the pool (8 ft) is to the width of the backyard (W).
So the proportion becomes: 10/35 = 8/W
To find W, we can cross multiply and solve for it.
10W = 35 * 8
10W = 280
Divide both sides by 10:
W = 280/10
W = 28
Therefore, the width of the backyard is 28 ft.
To find the width of the backyard, we need to set up a proportion using the given measurements.
We know that the pool is similar to the rectangle formed by the backyard. This means that the ratios of the corresponding sides are equal.
The length of the pool is 10 ft and the length of the backyard is 35 ft. So, we can write the proportion:
10/35 = 8/W
To solve for W, we can cross multiply:
10W = 35 * 8
Now, we can solve for W by dividing both sides of the equation by 10:
W = (35 * 8) / 10
W = 280/10
W = 28 ft
So, the width of the backyard is 28 ft.