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3 years ago

write a polynomial expression that represents the area of a trapezoid with bases of 6x-5 and 4x+7, and a height of x+1.

Mathematics

1 answer:

tigry1 [53]3 years ago

5 0

Answer:

A = 5x² + 6x + 1

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = $\frac{1}{2}$ h (a + b)

where h is the height and a, b the parallel bases, thus

A = $\frac{1}{2}$ (x + 1)(6x - 5 + 4x + 7)

= $\frac{1}{2}$ (10x + 2)(x + 1)

= (5x + 1)(x + 1) ← distribute using FOIL

= 5x² + 6x + 1

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Step-by-step explanation:

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Answer:

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write a polynomial expression that represents the area of a trapezoid with bases of 6x-5 and 4x+7, and a height of x+1.​

write a polynomial expression that represents the area of a trapezoid with bases of 6x-5 and 4x+7, and a height of x+1.