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Kisachek [45]
2 years ago
10

A swimming pool is to be constructed in a 1,408-ft2 backyard. There is to be a fence that will surround a 12-by-24-foot pool. Th

e pool builder wants to build a concrete paver deck of a uniform width, x, surrounding the pool and filling the entire area of the backyard. What is the width of the pool deck?
Mathematics
1 answer:
kkurt [141]2 years ago
6 0

The width of the pool is 10 feet.

<h3>What is area of rectangle?</h3>

The area of rectangle is product of length and breadth.

Let the width be x.

length = 24 + 2x. and breadth =  12 + 2x

We know, area= 1408 ft².

(12 + 2x)(24 + 2x) = 1408

12*24 + 12*2x + 24*2x + (2x)² = 1408

288 + 72x + 4x² = 1408

4x² + 72x + 288 - 1408 = 0

4x² + 72x - 1120 = 0

x² + 18x - 280 = 0

x² - 10x + 28x - 280 = 0

x(x - 10) + 28(x - 10) = 0

(x - 10)(x + 28) = 0

So, x=10, -28.

Hence, the width be 10 feet.

Learn more about this concept here:

brainly.com/question/26638297

#SPJ1

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120 cm^3

Step-by-step explanation:

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Explain how to compute 3/4 x 4/5 using one diagram.
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Answer:

The simplified form of given expression is 3/5.

Step-by-step explanation:

The given expression is

\frac{3}{4}\times \frac{4}{5}

We need to find the product of two factions using diagram.

For 3/4, draw a box and divide it in 4 equal parts by using vertical lines. The  color three parts of it.

For 4/5, draw a box and divide it in 5 equal parts by using horizontal lines. Then color the four parts of it.

Now combined both boxes and shown below.

From the below figure it is clear that

The number of common shaded small boxes =  12

Total number of small boxes = 20

The required fraction is

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Cancel out common factor.

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Therefore, the simplified form of given expression is 3/5.

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