Perimeter and Area — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. A farmer has a field that is 15 m long and 8 m wide. How many square meters of seed does he need?
A) 46 square m
B) 92 square m
C) 120 square m
D) 100 square m
Seed must cover the whole field, so we need its area: 15 × 8 = 120 square meters. Length times width tells how many 1 m squares fit inside.
2. A garden is 9 m by 6 m. Fencing costs $2 per meter. What is the total cost?
A) $30
B) $54
C) $60
D) $36
First find the perimeter: 9 + 6 + 9 + 6 = 30 m of fencing. Then 30 m × $2 per meter = $60 in total cost.
3. A 5 cm square has a 3 cm square cut from the center. What area remains?
A) 22 square cm
B) 16 square cm
C) 10 square cm
D) 25 square cm
The big square has area 5 × 5 = 25 square cm and the cut-out has area 3 × 3 = 9 square cm. Subtracting the hole leaves 25 − 9 = 16 square cm of remaining material.
4. A rectangular pool is 11 m by 7 m. How much rope is needed to go around it once?
A) 18 m
B) 77 m
C) 36 m
D) 30 m
Rope around the pool follows the perimeter: 11 + 7 + 11 + 7 = 36 m. Two long sides give 22 and two short sides give 14, which add to 36.
Part B: Fill in the Blank
Write the correct answer on each line.
1. A wall is 6 feet tall and 4 feet wide. You need 24 square foot tiles to cover it.
Tiles cover area, and area is 6 × 4 = 24 square feet. So 24 one-foot tiles will cover the whole wall with no gaps.
2. A park is 20 m long and 10 m wide. Its perimeter is 60 m.
Perimeter adds all four sides: 20 + 10 + 20 + 10 = 60 m. You can also double the length plus width: 2 × (20 + 10) = 60.
3. A banner is 12 inches long and 3 inches wide. Its area is 36 square inches.
Area multiplies length by width: 12 × 3 = 36 square inches. That counts the 1-inch squares that would fill the banner.
4. A card is 7 cm long and 2 cm wide. Its perimeter is 18 cm.
Around the card means 7 + 2 + 7 + 2 = 18 cm. Doubling 7 + 2 = 9 also gives 18, since each pair of opposite sides matches.
5. A rug is 11 m long and 6 m wide. Its area is 66 square m.
Length times width finds area: 11 × 6 = 66 square m of rug. Think of 11 rows with 6 square meters each, totaling 66.