Question

Determine an expression that would represent the area of the figure shown.

5x + 9
3x + 7
A
15x2 + 62x + 63
B
15x2 + 63
с
8x2 + 243 + 16

Answer 1

Option A : 15x² + 62x + 63 is the correct answer.

Explanation:

Given measurements of the figure are:

5x + 9 and 3x + 7

We have to find the area. We can find the area by multiplying the two expressions.

Area = (5x+9) * (3x+7)

Area = 5x (3x+7) +9(3x+7)

Area = 15x² + 35x + 27x + 63

Area = 15x² + 62x + 63

Hence,

Option A : 15x² + 62x + 63 is the correct answer.