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Fittoniya [83]
4 years ago
12

The triangle shown below has an area of 12. find x

Mathematics
1 answer:
Gnoma [55]4 years ago
8 0

Step-by-step explanation:

area \: of \: triangle  =  \frac{1}{2}  \times 6 \times x \\  \\  \therefore \: 12 =  3 \times x  \\  \\ \therefore \:  x =  \frac{12}{3}  \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \huge \purple{ \boxed{\therefore \:  x =  4}}

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3 years ago
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
kkurt [141]

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

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(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

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