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Karo-lina-s [1.5K]
3 years ago
12

Find the area of the shaded region of the trapezoid.

Mathematics
1 answer:
myrzilka [38]3 years ago
6 0

Answer:

B

Step-by-step explanation:

Area of Trapezoid

Area = (b1 + b2)*h/2

Area = (9 + 13)*11 /2

Area = (22) * 11/2

Area = 121 sqr. units.

Area of the unshaded triangle

Area = 1/2 b * h

Area = 1/2 9 * 11

area = 49.5

Area of the shaded region

Area = 121 - 49.5

Area = 71.5

B

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Step-by-step explanation:

Given expression is;

A=\frac{h(b_1+b_2)}{2}

Solving for b_1

Multiplying both sides by 2

2*A=\frac{h(b_1+b_2)}{2}*2\\2A=h(b_1+b_2)

Dividing both sides by h

\frac{2A}{h}=\frac{h(b_1+b_2)}{h}\\\frac{2A}{h}=b_1+b_2

Subtracting b_2 from both sides

\frac{2A}{h}-b_2=b_1+b_2-b_2\\\frac{2A}{h}-b_2=b_1\\b_1=\frac{2A}{h}-b_2

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Keywords: division, subtraction

Learn more about subtraction at:

  • brainly.com/question/11145277
  • brainly.com/question/11150876

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