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Black_prince [1.1K]
2 years ago
7

A rectangle has a height of 5 and a width of 4x^2 – 2x – 6.

Mathematics
1 answer:
bogdanovich [222]2 years ago
3 0

The area of the rectangle is 20x^{2} -10x-30 units.

Step-by-step explanation:

Step 1:

The area of a rectangle is obtained by multiplying the length with the width of the rectangle.

Considering this a whole rectangle, the length of the rectangle is 5 units and the width is the sum of 4x^{2}, -2x, and -6.

So the length of the rectangle = 5 units and

the width of the rectangle = 4x^{2} -2x-6 units.

The area of a rectangle = (length)(width).

Step 2:

By substituting the known values, we get

The area of the rectangle = (5) (4x^{2} -2x-6) = 20x^{2} -10x-30.

So the area of the rectangle is 20x^{2} -10x-30 units.

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