Find the area of a rectangle that measures 3 feet by 4 inches . Give the area in the square inches .
1 answer:
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Answer:
3 pieces
Step-by-step explanation:
Given: Figure
To find: Number of 8.5 in. × 11 in. pieces used to cover the floors of a room and a hallway in her dollhouse
Solution:
In the given figure, AC = 22 in.
AB + BC = 22 in.
AB + EF = 22 (As BC = EF being opposite sides of rectangle)
AB + 10 = 22
AB = 22 - 10 = 12 in.
Area of rectangle ABGH = AB × AH = 12 × 5 = 60 square inches
(area of rectangle = length × breadth )
CE = CD + DE = AH + GF (As CD = AH and DE = GF)
CE = 5 + 15 = 20 inches
Area of rectangle BCEF = BC × CE = 10 × 20 = 200 square inches
(BC = EF = 10 in.)
Total area of the figure = Area of rectangle ABGH + Area of rectangle BCEF = 60 + 200 = 260 square inches
Area of pieces of felt = 8.5 × 11
So,
Number of pieces required = Total area of the figure / Area of pieces of felt =
3 pieces
Answer:
20 1/2 feet
Step-by-step explanation:
18 inches is 1 1/2 feet. We can add up the lengths. Remember that multiplication is used to simplify repeated addition.
rope needed = 2×(5 ft) +7×(1 1/2) ft
= 10 ft + 10 1/2 ft
= 20 1/2 ft
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<em>Comment on the solution</em>
There are many ways you can go at the solution of this. The one you choose may depend on the kind of aritmetic you're comfortable with.
Since one of the dimensions is given in inches, and the result is required in feet, at some point you need to convert from inches to feet. It is useful to know that 12 inches equal 1 foot. That tells you that you can divide the number of inches by 12 to get the number of feet. (18 inches = 18/12 feet = 3/2 feet = 1 1/2 feet)
You can add the step lengths in inches (18 inches × 7 = 126 inches = 10 1/2 feet) or in feet (1 1/2 feet × 7 = 10 1/2 feet).
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Since one of the dimensions involves a fraction of a foot, at some point you have to deal with arithmetic involving fractions. Here, we have assumed you know how to do that (this is college math, after all).
Modern calculators are quite versatile in the sorts of expressions they can evaluate. For mine, it would be convenient to write it as ...
2×5+7×(18/12) . . . . would give 20 1/2
The Google search box is also a very good calculator for a variety of problems. Its use is shown below.
