Treehouse Builders: Floors, Railings, and Rooms
0 / 14Treehouse 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
Perimeter = 2 × length + 2 × width
1.
The treehouse floor is a rectangle 9 feet long and 7 feet wide. What is the area of the floor?
Area = square feet
2.
A railing will go along all four edges of the floor from problem 1. How many feet of railing are needed?
Railing = feet
3.
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
4.
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?
Find the missing side
Work backward from the area or the perimeter.
5.
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
6.
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
7.
The trap door is a square. Its perimeter is 12 feet. What is the area of the trap door?
Area = square feet
8.
The balcony must be a rectangle with an area of 36 square feet and a perimeter of 26 feet. Which size works?
Plan the treehouse
Solve each building problem.
9.
Each card shows the length and width of a rectangular floor plan. Circle every floor plan with a perimeter of 20 feet.
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?
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.