iGCSE (2021 Edition)

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

What is the area of rectangle $A$`A`?

b

What is the area of rectangle $B$`B`?

c

What is the area of rectangle $C$`C`?

d

What is the area of rectangle $D$`D`?

e

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(3`x`+8`y`)2

Easy

2min

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