Calculate Area: Finding (23x+12)×(20x+7) for a Canvas

A painter buys a canvas with the following dimensions:

(23x+12)×(20x+7) (23x+12)\times(20x+7)

How much space to paint does she have?

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Step-by-step video solution

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00:00 Solve
00:03 Pay attention to open parentheses properly
00:07 Each term in parentheses multiply by each term in the second parentheses
00:29 Solve each multiplication and then sum up
00:52 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

A painter buys a canvas with the following dimensions:

(23x+12)×(20x+7) (23x+12)\times(20x+7)

How much space to paint does she have?

2

Step-by-step solution

We calculate the area using the distributive property:

23x×20x+23x×7+12×20x+12×7= 23x\times20x+23x\times7+12\times20x+12\times7=

We solve each of the multiplication exercises:

460x2+161x+240x+84= 460x^2+161x+240x+84=

We join the x coefficients:

460x2+401x+84= 460x^2+401x+84=

3

Final Answer

460x2+401x+84 460x^2+401x+84

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\( 140-70= \)

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