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AlekseyPX
3 years ago
9

The trapezoid consists of a triangle and a parallelogram. The area of the trapezoid is 48 square feet. Find the length of the ba

se of the triangle.

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
7 0

Answer:

4ft

Step-by-step explanation:

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<h3>Answer:  35</h3>

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

Explanation:

To start off, we'll find the circumference of the full circle. We'll ignore the black and yellow sectors.

C = 2*pi*r

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C = 14pi

This is the exact distance around the full circle in terms of pi

However, we don't want the the full circular perimeter. Instead, we only want the portions that are along the black sectors. The yellow sectors have central angle 24 degrees each. This takes up 3*24 = 72 degrees overall because the three regions have equal area and equal central angle.

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

Why is 288 useful? Because it helps set up the fraction 288/360 to represent the portion of the perimeter that we care about.

(288/360)*14pi = 35.1858 mm approximately

This rounds to 35 mm

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