Mixed Two-Step Area & Perimeter — Grade 4

Area → Length → Perimeter

A rectangle has an area of 45 square units. Its width is 5 units.

Step 1: Find the length. Step 2: Use the length and width to find the perimeter.

What is the perimeter of the rectangle?

• 14 units

• 18 units

• 22 units

• 28 units

Perimeter → Missing Side → Area A rectangular banner has a perimeter of 30 inches. The length is 9 inches.

Step 1: Find the width.

Step 2: Find the area. What is the area of the banner?

• 48 in²

• 63 in²

• 72 in²

• 90 in²

Real World — Mixed Dimensions A teacher creates a rectangular bulletin space with a perimeter of 26 feet. The width is 4 feet.

Step 1: Find the length. Step 2: Find the area of the bulletin board.

What is the area?

• 20 ft²

• 24 ft²

• 30 ft²

• 36 ft²

Area → Side → Compare Area & Perimeter A garden bed has an area of 54 square feet. Its length is 9 feet. Step 1: Find the width.

Step 2: Which is greater: area or perimeter?

• Area

• Perimeter

• They are the same

• Not enough information

Grid Shape → Area → Perimeter A student shades 21 square units on a grid. She redraws the shape as a rectangle where the length is 7 units. Step 1: Find the width. Step 2: Find the perimeter. What is the perimeter of the new rectangle?

• 14 units

• 20 units

• 24 units

• 28 units

Mixed Conditions A rectangle has: Area = 32 square cm and Perimeter = 24 cm. Step 1: Find two numbers that multiply to 32. Step 2: Check which pair adds to match the perimeter.

What are the dimensions of the rectangle?

• A) 4 cm x 8 cm

• B) 3 cm x 12 cm

• C) 2 cm x 16 cm

• D) 1 cm x 32 cm