Question

Here are two rectangles.

The table below represents some values for x and y
such that the areas of the rectangles sum to 30 cm2
Complete the table below.
x
3 cm
6
2 cm
9
x cm
y cm
9
15
INTL 9 5:29

Answer 1

Explanation:

y = 6 cm

x = 4 cm

y = 1.5 cm

x = 0 cm

Answer 2

See the original question attached

Explanation:

Given two rectangle with sides 3 by x and 2 by y.

Sum of the areas is 30 cm².

Find the missing values.

• x = 6 ⇒ 3*6 + 2y = 30 ⇒ 2y = 30 - 18 ⇒ 2y = 12 ⇒ y = 2 cm
• y = 9 ⇒ 3x + 2*9 = 30 ⇒ 3x = 30 - 18 ⇒ 3x = 12 ⇒ x = 4 cm
• x = 9 ⇒ 3*9 + 2y = 30 ⇒ 2y = 30 - 27 ⇒ 2y = 3 ⇒ y = 1.5 cm
• y = 15 ⇒ 3x + 2*15 = 30 ⇒ 3x = 30 - 30 ⇒ 3x = 0 ⇒ x = 0 cm