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asambeis [7]
3 years ago
15

A rectangle has a height of k2 + 3 and a width of k2 + 7.

Mathematics
1 answer:
ElenaW [278]3 years ago
5 0

Answer:

The area of the rectangle in polynomial form is k^4 +10 k^2 + 21

Step-by-step explanation:

Given

Shape: Rectangle

Height: k^2 + 3

Width: k^2 + 7

Required

Area of the rectangle

The area of a rectangle is calculated as thus;

Area = Length * Width

By substituting k^2 + 3 for height and k^2 + 7 for width; This gives

Area = (k^2 + 3)(k^2 + 7)

Expand the bracket

Area = k^2(k^2 + 7) + 3(k^2 + 7)

Open each bracket

Area = k^2*k^2 + k^2*7 + 3*k^2 + 3*7

Area = k^4 +7 k^2 + 3k^2 + 21

Area = k^4 +10 k^2 + 21

Hence, the area of the rectangle in polynomial form is k^4 +10 k^2 + 21

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