The square has side a. The two blue strips and the small red square together form a border of width b along the top and right. The orange square has side a − b. Which expression gives the area of the orange square?

Question

Accepted Answer

a² − 2ab + b². Orange area = a^2 - top strip ab - right strip b(a - b) = a^2 - ab - ab + b^2 = a^2 - 2ab + b^2, which is (a - b)^2.

The square has side a. The two blue strips and the small red square together form a border of width b along the top and right. The orange square has side a − b. Which expression gives the area of the orange square?

Step-by-Step Solution

Key idea: Adding and subtracting expressions

Master this chapter in 30 minutes a day.

More Class 8 Algebraic Expressions and Identities practice