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The area of the trapezoid below is 24 square inches, the altitude is 3 inches, and the length of one base is 5 inches. What is the length, b, of the other base, in inches?
- a)3
- b)8
- c)11
- d)13
- e)16
Correct answer is option 'C'. Can you explain this answer?
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The area of the trapezoid below is 24 square inches, the altitude is 3...
To solve this problem, use the formula for the area of a trapezoid, 1/2 h(b1 + b2), where h is the altitude (height) and b1 and b2 are the bases. In this case, the altitude (height) is 3 and one of the bases is 5. Because the area is known to be 24, the other base can be determined by using the equation 24 = (1/2) (3)(b + 5). Dividing both sides of the equation by 3/2 (or multiplying both sides of the equation by 2/3) yields 16 = b + 5, or b = 11.
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The area of the trapezoid below is 24 square inches, the altitude is 3 inches, and the length of one base is 5 inches. What is the length, b, of the other base, in inches?a)3b)8c)11d)13e)16Correct answer is option 'C'. Can you explain this answer?
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