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 big rectangle segmented into four smaller rectangles. Rectangle $A$`A`, $B$`B`, $C$`C`, and $D$`D`. The top-left rectangle is labeled "$B$`B`" and has a light blue fill. The top-right rectangle is labeled "$D$`D`" and has a light purple fill. The bottom-left rectangle is labeled "$A$`A`" and has a light green fill. The bottom-right rectangle is labeled "$C$`C`" and has a light blue fill. To the left of the top row of rectangles, the number "$3$3" is present. To the left of the bottom row of rectangles, the letter "$y$`y`" is present. Below the bottom-left rectangle, the letter "$y$`y`" is present. Below the bottom-right rectangle, the number "$7$7" is present.

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

Distribute and simplify the following:

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

Easy

1min

Distribute the following using binomial distribution:

$\left(x+5\right)\left(x+7\right)$(x+5)(x+7)

Easy

1min

Distribute and simplify the following:

$\left(v+8\right)\left(v+10\right)$(v+8)(v+10)

Easy

1min

Outcomes

II.A.SSE.1

Interpret quadratic and exponential expressions that represent a quantity in terms of its context.

II.A.SSE.1.a

Interpret parts of an expression, such as terms, factors, and coefficients.

II.A.APR.1

Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

2.03 Multiplying polynomials

Interactive practice questions

Outcomes

II.A.SSE.1

II.A.SSE.1.a

II.A.APR.1

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