Worksheet

Treehouse Builders: Floors, Railings, and Rooms

Grade 4 area and perimeter word problems about building a treehouse, with missing sides, costs, and comparing floor plans.

Grade 4MathInteractive · Printable

Aligned to4.MD.A.3

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
14 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 4
Subject: Math
Question types: Fill in the blank, Multiple choice, Circle the answer, Short answer

About this worksheet

What students practice

Students use the area formula for rectangles to solve real-world problems.
Students use the perimeter formula for rectangles to find totals and missing side lengths.
Students compare rectangles that have the same area but different perimeters.

How to use

Review the two formulas at the top first. Have students sketch and label each rectangle before solving, and check that every answer uses units or square units.

Curriculum

Common Core standard covered

4.MD.A.3

Use area and perimeter formulas for rectangles in real-world problems.

Preview

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Treehouse Builders: Floors, Railings, and Rooms

Use area and perimeter formulas to plan a backyard treehouse.

Measure the build

Use the formulas to solve each problem.

Area = length × width
Perimeter = 2 × length + 2 × width

The treehouse floor is a rectangle 9 feet long and 7 feet wide. What is the area of the floor?

Area = square feet

A railing will go along all four edges of the floor from problem 1. How many feet of railing are needed?

Railing = feet

A rectangular window is 24 inches wide and 18 inches tall. Wood trim goes around its whole edge, and glass fills the whole window.

Trim needed: inches
Glass needed: square inches

Kiara paints one side of the treehouse door. The door is a rectangle 5 feet tall and 3 feet wide. How many square feet does she paint?

A. 8 square feet
B. 16 square feet
C. 15 square feet
D. 25 square feet

Find the missing side

Work backward from the area or the perimeter.

The sleeping loft has a rectangular floor with an area of 48 square feet. The loft is 4 feet wide. How long is it?

Length = feet

Ravi puts trim around the whole edge of a rectangular treehouse sign. He uses 40 inches of trim in all. The sign is 14 inches long. How wide is it?

Width = inches

The trap door is a square. Its perimeter is 12 feet. What is the area of the trap door?

Area = square feet

The balcony must be a rectangle with an area of 36 square feet and a perimeter of 26 feet. Which size works?

A. 6 feet by 6 feet
B. 12 feet by 3 feet
C. 10 feet by 3 feet
D. 9 feet by 4 feet

Plan the treehouse

Solve each building problem.

Each card shows the length and width of a rectangular floor plan. Circle every floor plan with a perimeter of 20 feet.

6 ft by 4 ft8 ft by 3 ft9 ft by 2 ft5 ft by 5 ft7 ft by 3 ft10 ft by 2 ft

10.

Carpet tiles are squares that are 1 foot long and 1 foot wide. The reading nook floor is a rectangle 6 feet long and 5 feet wide. Mia already has 18 tiles. How many more tiles does she need to cover the whole floor?

more tiles

11.

Railing costs $4 for each foot. The lookout deck is a rectangle 8 feet long and 5 feet wide. How much does railing around the whole deck cost?

Cost = $

12.

The treehouse has two rectangular rooms side by side. Room A is 6 feet long and 5 feet wide. Room B is 4 feet long and 5 feet wide. What is the total floor area of both rooms?

Total area = square feet

13.

Jada can build a rectangular floor with an area of 24 square feet in different ways. She wants to use the least railing around the edge. Which floor should she choose?

A. 12 feet by 2 feet
B. 8 feet by 3 feet
C. 6 feet by 4 feet
D. 24 feet by 1 foot

14.

Leo's floor plan is a rectangle 5 feet long and 4 feet wide. He says, "If I double the length, the area doubles and the perimeter doubles too." Is Leo right? Use the formulas to explain.