FIND THE MISSING SIDE OF A RECTANGLE WORD PROBLEMS WORKSHEET

Problem 1 :

Mr. Fitch hires a landscape architect to renovate his front yard. The rectangular yard is 30 feet long. If the area of the yard is 600 square feet, determine the width of the yard.

Solution

Problem 2 :

The screen of an LED TV measures 32 inches in length and its area is 896 square inches. What is the width of the screen?

Solution

Problem 3 :

The area of an apple orchard is 4,675 square feet. Find the length of the rectangular orchard, if its width is 55 feet.

Solution

Problem 4 :

The area of an aluminum sheet is 124.32 square feet. If its length is 22.2 feet, what is the width of the aluminum sheet?

Solution

Problem 5 :

Ted’s rectangular corn field has an area of 2,280 square feet. What is the length of the field, if its width measures 28.5 feet?

Solution

Problem 6 :

The green chalkboard in the kindergarten classroom is 24 inches wide. If the area of the board is 864 square inches, find the length of the board.

Solution

Problem 7 :

A playground in Bucks Country has an area of 300 square yards. If the width of the rectangular playground is 15 yards, find the length of the playground.

Solution

Problem 8 :

A square and a rectangular field with measurements as given in the figure have the same perimeter. Which field has a larger area?

Solution

Problem 9 :

The diagonal of a rectangle is √41 cm and its area is 20 square cm. The perimeter of the rectangle must be 

a)  9 cm   b)  18 cm   c)  20 cm     d)  41 cm

Solution

Problem 10 :

A rectangular carpet has an area of 60 sq.m. If its diagonal and longer side together equal 5 times the shorter side, the length of the carper is

a) 5 m   b)  12 m    c)  13 m   d)  14.5 m

Solution

Problem 1 :

A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 680 square feet, how many feet of fencing will be required ?

Solution

Problem 2 :

The ratio between the perimeter and the width of a rectangle is 5 : 1. If the area of the rectangle is 216 sq.cm. What is the length of the rectangle ?

Solution

Problem 3 :

A farmer wishes to start a 100 sq.m rectangular vegetable garden. Since he has only 30 m barbed wire he fences three sides of the garden letting his house compound wall act as the fourth side fencing. The dimension of the garden is.

Solution

Problem 4 :

The length of a rectangle is three times of its width. If the length of the diagonal is 8√10 cm, then the perimeter of the rectangle is :

a)  15 √10 cm    b)  16 √10 cm    c)  24√10 cm     d)  64 cm

Solution

Problem 5 :

The length of a rectangle is halved, while its width is tripled. What is the percentage change in area ?

a) 25% increase     b)  50% increase     c) 50% decrease     d)  75% decrease

Solution

Problem 6 :

The length of a blackboard is 8 cm more than its width. If the length is increased by 7 cm and width is decreased by 4 cm, the area remains the same. The length and width of the blackboard will be

a) 28, 20    b)  34, 26   c)  40, 32     d)  56, 48

Solution

Problem 1 :

Hugh orders a party banner for his son’s birthday. The length and width of the banner are 72 inches and 23 inches respectively. What is the area of the party banner?

Solution

Problem 2 :

Theo makes a decorative bookmark of size 2” × 6” for his teacher. Find the area of the bookmark.

Solution

Problem 3 :

Fran designed a flag that measured 9 inches in length and 5 inches in width. Find the area of the flag.

Solution

Problem 4 :

Ellen renovates his farmhouse foyer that is 15 feet long and 8 feet wide. Calculate the area of the foyer.

Solution

Problem 5 :

Bianca bought a baseplate of 12 inches length and 10 inches width. Find the area of the baseplate.

Solution

Problem 6 :

Leah makes an original photo frame to showcase her favorite family picture. The size of the frame is 3.5” × 8”. Determine the area of the photo frame and express the answer in square feet.

Solution

Problem 7 :

Mr. O’Grady bought wallpaper to decorate one of his bedroom walls, 11 feet wide and 15 feet long. Find the area of the wall paper. Express the answer in square inches.

Solution

Problem 8 :

If the length and width of the rectangular room are each increased by 1 m, then the area of floor is increased by 21 sq.m If the length is increased by 1 m and width is decreased by 1 m, then the area is decreased by 5 sq.m. The perimeter of the floor is 

a)  30 m      b) 32 m   c)  36 m    d)  40 m

Solution

Problem 9 :

A housing society has been allotted a square piece of land measuring 2550.25 sq.m. What is the side of the plot ?

Solution

Answer Key

1) the area of party banner is 1656 square inches.

2)  area of the bookmark is 12 square inches.

3)  area of the flag is 45 square inches.

4) area of the foyer is 120 square feet.

5) area of the base plate is 120 square inches.

6) area of the photo frame is 0.19 square feet.

7) area of the wall paper is 23760 square inches.

8) 40 m

9) side length of square plot is 50.5 m.