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BabaBlast [244]
3 years ago
12

The image shows the dimensions of a pool.

Mathematics
1 answer:
Juliette [100K]3 years ago
8 0
<h3>Answer:  D) 198 square meters</h3>

======================================================

Explanation:

Extend the side that's 9.5 meters long out to the left so that you form a trapezoid on top and a rectangle underneath. The side we extended is now 5+9.5 = 14.5 meters long.

Let

  • A = area of the trapezoid up top
  • B = area of the rectangle underneath

The goal is to find A+B

The trapezoid has the parallel sides of 14.5 and 10 meters. The height of the trapezoid is 28-20 = 8 meters. So we can say

Area of trapezoid = height*(base1+base2)/2

A = h*(b1+b2)/2

A = 8*(14.5+10)/2

A = 98

The rectangle has area of B = length*width = 5*20 = 100 square meters

Therefore,

total area = A+B = 98+100 = 198 square meters.

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================================

Work Shown:

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-------------

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