Area and Perimeter Algebraic Word Problems

Kayla wants to build a fence in her backyard. The length of her backyard is 30 feet and the width is 45 feet. How many feet of fence will she need to buy?

• 75 feet
• 1350 square feet
• 1350 feet
• 150 feet

Alicia's garden is 50 square feet. Inside of her garden she plants a section of tomatoes that is 3 feet by 4 feet. How much more space does she have left in her garden to plant other crops? 

• 62 square feet
• 8 square feet
• 38 square feet
• 12 square feet

The area of a soccer field is 56 square yards. The length of one side of the field is 8 yards. What is the width of the field? 

• 7 yards 
• 7 square yards
• 48 yards
• 9 yards

Farmer John walks his pet pig around his barn every day. The barn is 25 meters by 12 meters. If we walks the pig around the barn three times, how many meters did farmer John and his pig walk?

• 300 meters
• 222 meters
• 74 meters
• 37 meters

If the area of a basketball court in 117 square feet and the width is 9 feet, what is the length?

• 13 feet
• 13 square feet
• 12 feet
• 12 square feet

Jenny's room is 13 feet long and 12 feet wide. Ruth's room is 14 feet long and 11 feet wide. Whose room has the greater perimeter?

• Jenny
• Ruth
• They are the same 

Compare these two rectangles.

A: 4 by 5

B: 10 by 2

• they have the same perimeter

• the widths are the same

• the side lengths are the same

• they have the same area

Henrik drew a pentagon that has a perimeter of 11 centimeters. What is the missing side length for this pentagon?

• 1 centimeter
• 3 centimeters
• 2 centimeters
• 4 centimeters

Stephen has a rectangular bedroom with a perimeter of 34 feet. The length of the bedroom is 9 feet. What is the width of Stephen's bedroom?

• 12 cm
• 8 cm
• 6 cm
• 18 cm

Jackson cut a pentagon out of poster board to make sign for his door. The perimeter of the sign is 30 inches and each side of the sign has the same length. What is the length of each side of the sign?

• 180 inches
• 4 inches
• 6 inches
• 5 inches