The area of the figure below is $\left(y+3\right)\left(y+7\right)$(y+3)(y+7). We want to find another expression for this area by finding the sum of the areas of the four smaller rectangles.

A rectangle segmented into four smaller rectangles: Rectangle $A$`A`, $B$`B`, $C$`C`, and $D$`D`. Rectangle $A$`A` is located at the bottom left with sides of length $y$`y`. Rectangle $B$`B`, situated above $A$`A`, has a length of $y$`y` and a width of $3$3. To the right of $A$`A`, Rectangle $C$`C` has a length of $7$7 and a width of $y$`y`. Rectangle $D$`D`, positioned above $C$`C`, has dimensions of $7$7 by $3$3. This layout represents the algebraic expression $\left(y+7\right)\left(y+3\right)$(`y`+7)(`y`+3), with the rectangle's length being $y+7$`y`+7 and its width $y+3$`y`+3.

What is the area of rectangle $A$A?

What is the area of rectangle $B$B?

What is the area of rectangle $C$C?

What is the area of rectangle $D$D?

Using the areas of each rectangle, write an equivalent expression for the area of the figure.

Easy

2min

Fill in the blanks to make the expression true.

Easy

< 1min

Expand and simplify the following:

$-\left(x+5\right)\left(x+2\right)$−(x+5)(x+2)

Easy

1min

Expand the following perfect square: $9\left(3x+8y\right)^2$9(3x+8y)2

Easy

2min

5.02 Expansion

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