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Find the area of the given shape, tbh I am lost

Find the area of the given shape, tbh I am lost-example-1

2 Answers

3 votes

Answer:

The combined area of the two rectangles is 2x^4 + 20x^3 + 68x^2 + 80x + 48. correct me if i'm wrong

Explanation:

User Daimajia
by
8.9k points
3 votes

Answer:

3x² + 15x + 18

Explanation:

The shape is a large rectangle at the bottom and a smaller rectangle at the top left.

area of rectangle = length × width

bottom rectangle:

length = 2x + 4

width = (2x + 5) - (x + 2) = 2x + 5 - x - 2 = x + 3

area of bottom rectangle = length × width = (2x + 4)(x + 3)

area of bottom rectangle = 2x² + 6x + 4x + 12 = 2x² + 10x + 12

upper rectangle:

length = x + 3

width = x + 2

area of bottom rectangle = length × width = (x + 3)(x + 2)

area of bottom rectangle = x² + 2x + 3x + 6 = x² + 5x + 6

total area =

= area of bottom rectangle + area of upper rectangle

= 2x² + 10x + 12 + x² + 5x + 6

= 3x² + 15x + 18

User Dutts
by
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