Let’s solve each problem step by step with clear explanations.
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Problem 4:
> Betty's bedroom is 16 ft. long and 15 ft. wide. She wants to install the hardwood flooring. Cost is $6.00 per square foot. How much is total cost for the room flooring?
✔ Step 1: Find the area of the room.
Since the room is rectangular,
Area = Length × Width
= 16 ft × 15 ft
=
240 square feet
✔ Step 2: Multiply area by cost per square foot.
Total cost = Area × Cost per sq ft
= 240 × $6.00
=
$1,440.00
✔ Answer: $1,440.00
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Problem 5:
> Also Betty wants to install the base molding in the room. How much will it cost her if $3.00 is the cost per foot?
✔ Step 1: Find the perimeter of the room.
Base molding goes around the edges — so we need the
perimeter of the rectangle.
Perimeter = 2 × (Length + Width)
= 2 × (16 ft + 15 ft)
= 2 × 31 ft
=
62 feet
✔ Step 2: Multiply perimeter by cost per foot.
Total cost = Perimeter × Cost per foot
= 62 × $3.00
=
$186.00
✔ Answer: $186.00
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Problem 6:
> Rosy had a farm with the perimeter of 84 m. The length of the farm is 12 m. Find the area of the farm.
✔ Step 1: Use perimeter formula to find width.
Assume the farm is rectangular.
Perimeter = 2 × (Length + Width)
We know:
Perimeter = 84 m
Length = 12 m
So:
84 = 2 × (12 + Width)
Divide both sides by 2:
42 = 12 + Width
→ Width = 42 - 12 =
30 m
✔ Step 2: Find area.
Area = Length × Width
= 12 m × 30 m
=
360 square meters
✔ Answer: 360 m²
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Problem 7:
> Tina and Tony are working on a banner for their school exhibition. The banner is 12 ft by 9 ft. The cloth costs $3.00 per square foot. Find the total cost of the banner.
✔ Step 1: Find the area of the banner.
Area = Length × Width
= 12 ft × 9 ft
=
108 square feet
✔ Step 2: Multiply area by cost per square foot.
Total cost = 108 × $3.00
=
$324.00
✔ Answer: $324.00
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✔ Final Answers:
4.
$1,440.00
5.
$186.00
6.
360 m²
7.
$324.00
Let me know if you’d like diagrams or further explanation!
Parent Tip: Review the logic above to help your child master the concept of area word problems worksheet.
