Question

Solve each word problem. Show your work and include the correct units.

1. Each side of a square barn is 9 meters long.

a. What is the barn’s perimeter? ___________________
b. What is the barn’s area? ___________________

2. A rectangular piece of metal is 10 inches wide and 14 inches long.

a. What is the perimeter? ___________________
b. What is the area? ___________________

3. A rectangular cornfield has a length of 7 kilometres and an area of 63 square
kilometres.

a. What is the width of the cornfield? ___________________
b. What will be the area if the length and width are doubled? ______________

4. Eric has 54 yards of fencing to use for a flowerbed. Some possible measurements are
shown below. For which flowerbeds does Eric have enough fencing? Color in all the
possible answers.
A.
length = 30 yards
area = 300 square yards

B.
length = 20 yards
width = 5 yards

C.
width = 12 yards
perimeter = 48 yards

D.
length = 26 yards
width = 22 yards

E.
length = 16 yards
width = 14 yards

F.
width = 9 yards
area = 162 square yard

Answer 1

1

perimeter = 9 · 4 = 36 m

area = 9² = 81 m²

2

perimeter = (10+14) · 2 = 24 · 2 = 48 in

area = 10 · 14 = 140 in²

3

width = 63 : 7 = 9 km

9 · 2 = 18 km

7 · 2 = 14 km

area = 18 · 14 = 252 km²

4

A 300 : 30 = 10

(10 + 30) · 2 = 40 · 2 = 80 (no)

B

(20 + 5) ·2 = 25 · 2 = 50 yd (ok)

C

perimeter is 48 yd (ok)

D

(22 +26) · 2 = 48 · 2 = 96 yd (no)

E

(16 + 14) · 2 = 30 · 2 = 60 yd (no)

F

length = 162 : 9 = 18 yd

(18 +9) · 2 = 27 · 2 = 54 yd (ok)

Explanation:

Answer 2

Explanation:

1

perimeter = 9 · 4 = 36 m

area = 9² = 81 m²

2

perimeter = (10+14) · 2 = 24 · 2 = 48 in

area = 10 · 14 = 140 in²

3

width = 63 : 7 = 9 km

9 · 2 = 18 km

7 · 2 = 14 km

area = 18 · 14 = 252 km²

4

A 300 : 30 = 10

(10 + 30) · 2 = 40 · 2 = 80 (no)

B

(20 + 5) ·2 = 25 · 2 = 50 yd (ok)

C

perimeter is 48 yd (ok)

D

(22 +26) · 2 = 48 · 2 = 96 yd (no)

E

(16 + 14) · 2 = 30 · 2 = 60 yd (no)

F

length = 162 : 9 = 18 yd

(18 +9) · 2 = 27 · 2 = 54 yd (ok)