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

Question

A painter buys a canvas with the following dimensions:

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

How much space to paint does she have?

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

We calculate the area using the distributive property:

$23x\times20x+23x\times7+12\times20x+12\times7=$

We solve each of the multiplication exercises:

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

We join the x coefficients:

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

$460x^2+401x+84$