Squares and Rectangles Area Problems with Missing Length

Find the length of the missing side. Then find the area.

• The missing side is 4 ft. The area is 80 square ft.

• The missing side is 8 ft. The area is 36 square ft.

• The missing side is 10 ft. The area is 40 square ft.

• The missing side is 6 ft. The area is 32 square ft.

Ashley draws a rectangle with an area of 30 square centimeters. She labels one of the sides 5 centimeters, but forgets the other side. What is the missing length?

• 5 cm

• 25 cm

• 30 cm

• 6 cm

Count to find the area. Tell whether the area is exact or an estimate. Select the correct statements.

• The area is about 19 square units. The area is an estimate.

• The area is exactly 19 square units. The area is exact.

• The area is about 20 square units. The area is exact.

• The area is exactly 20 square units. The area is an estimate.

Choose all the ways to break apart the area of the large rectangle into the sum of the areas of two smaller rectangles.

• 4 x 8 =

  4 × (1 + 7) = (4 × 1) + (4 × 7)

• 4 x 8 =

  4 × (4 + 3) = (4× 4) + (4 × 3)

• 4 x 8 =

  4 × (4 + 4) = (4 × 4) + (4 × 4)

• 4 x 8 =

  4 × (7 + 1) = (4 × 7) + (4 × 1)

• 4 x 8 =

  4 × (3 + 5) = (4 × 3) + (4 × 5)

Find the missing side length

• 36mm

• 10mm

• 20mm

• 18mm

• 10cm

• 5cm

• 3.5cm

• 3cm

Find the length of Side A.

• 9 inches

• 35 inches

• 50 inches

• 20 inches

Find the missing side length

• 40cm

• 4cm

• 256cm

• 8cm

Use the Distributive Property to find the equation that represents the picture. Choose the answer that shows the correct way to fill in the blanks.

• 3 x 6 = 3 x (2 + 4) = (3 x 2) + (3 x 4)

• 3 x 6 = 3 x (2 + 6) = (3 x 2) + (3 x 6)

• 3 x 6 = 3 x (2 + 2) = (3 x 2) + (3 x 2)

• 3 x 6 = 3 x (2 + 1) = (3 x 2) + (3 x 1)

What is the area of the basement, in square feet?

• 27 square ft

• 24 square ft

• 15 square ft

• 39 square ft