IMPERIAL UNITS OF LENGTH WORKSHEET

Question 1 :

Convert 8 yd. to feet.

Question 2 :

Convert 7 yd. to inches.

Question 3 :

Convert 53 in. to feet and inches.

Question 4 :

Convert 55 in. to yards, feet, and inches.

Question 5 :

James is framing a picture. The perimeter of the framed picture will be 140 in.

(a) What will be the perimeter of the framed picture in feet and inches?

(b) The framing material is sold by the foot. It costs $1.55/ft. What will be the cost of material?

Question 6 :

The school council has 6 yd. of fabric that will be cut into strips 5 in. wide to make decorative banners for the school dance. How many banners can be made?

Question 7 :

A map of Alaska has a scale of 1 : 4,750,000. The distance on the map between Paxson and the Canadian border is 3⅗ in. What is this distance to the nearest mile?

1. Answer :

Since 1 yd. = 3 ft., to convert yards to feet multiply by 3.

8 yd. = 8 x 3 ft.

= 24 ft.

2. Answer :

Since 1 yd. = 3 ft. and 1 ft. = 12 in., multiply the given yards by 3 to convert it to feet, further, multiply the result by 12 to convert it to inches.

7 yd. = 7 x 3 ft.

= 21 ft.

= 21 x 12 in.

= 252 in.

3. Answer :

Since 12 in. = 1 ft., to convert inches to feet, divide by 12.

53 in. = (53/12) ft.

12 goes into 51, 4 times and 5 left over.

Therefore,

53 in. = 4 ft. and 5 in.

4. Answer :

Since 12 in. = 1 ft., to convert inches to feet, divide by 12.

55 in. = (55/12) ft.

12 goes into 55, 4 times and 7 left over.

55 in. = 4 ft. and 5 in.

Since 3 ft. = 1 yd., to convert feet to yards, divide by 3.

3 goes into 4, 1 time and 1 left over.

55 in. = 1 yd., 1 ft. and 5 in.

5. Answer :

Part (a) :

Given : Perimeter = 140 in.

To convert inches to feet, divide by 12.

140 in. = (140/12) ft.

12 goes into 140, 11 times and 8 left over.

140 in. = 11 ft. and 8 in.

Part (b) :

The perimeter of the framed picture is greater than 11 ft., so James must buy 12 ft. of framing material.

The cost of the framing material :

= 12($1.55)

= $18.60

6. Answer :

Since the width of a banner is measured in inches, convert the length of the material to inches.

Since 1 yd. = 3 ft., multiply the given yards by 3 to convert it to feet.

6 yd. = 6 x 3 ft.

= 18 ft.

Since 1 ft. = 12 in., multiply the 18 ft. by 12 to convert it to inches.

= 18 x 12 in.

= 216 in.

Since each strip is 5 in. wide, divide 216 in. by 5 to find the number of banners.

= 216/8

= 43.2

Therefore, 43 banners can be made with 6 yd. of fabric.

7. Answer :

The map scale 1 in. represents 4,750,000 in.

3⅗ in. represents

= 3⅗ in. (4,750,000)

= (18/5)(4,750,000)

= 17,100,000 in.

Divide by 12 to convert 17,100,000 in. to feet :

= 17,100,000/12

= 1,425,000 ft.

Divide by 5280 to convert 1,425,000 ft. to miles :

= 1,425,000/5280

≈ 270 mi.

The distance between Paxson and the Canadian border is approximately 270 mi.

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