Area of a rectangle involving fractions Online Quiz

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Q 1 - A farm is $\frac{4}{7}$ km in length and $\frac{3}{4}$ km in width. What is the area of the farm?

Explanation

Step 1:

Area of rectangle = l × w square units; l = length; w = width

Step 2:

Area of the farm = l × w = $\frac{4}{7}$ × $\frac{3}{4}$ = $\frac{3}{7}$ square km

Q 2 - A table top is $\frac{3}{5}$ yard in length and $\frac{2}{5}$ yard in width. What is the area of the table top?

Explanation

Step 1:

Area of rectangle = l × w square units; l = length; w = width

Step 2:

Area of the plot = l × w = $\frac{3}{5}$ × $\frac{2}{5}$ = $\frac{6}{25}$ square yd

Q 3 - A piece of plywood has a length of $\frac{7}{11}$ ft, with a width of $\frac{8}{9}$ ft. What is the area of the plywood?

Explanation

Step 1:

Area of rectangle = l × w square units; l = length; w = width

Step 2:

Area of the plywood = l × w = $\frac{7}{11}$ × $\frac{8}{9}$ = $\frac{56}{99}$ square ft

Q 4 - A lake is $\frac{2}{5}$ mile in length and $\frac{3}{7}$ mile in width. What is the area of the lake?

Explanation

Step 1:

Area of rectangle = l × w square units; l = length; w = width

Step 2:

Area of the lake = l × w = $\frac{2}{5}$ × $\frac{3}{7}$ = $\frac{6}{35}$ square mile

Q 5 - A bakery cookie sheet was $\frac{7}{13}$ in wide and $\frac{5}{7}$ in long. What is the area of their cookie sheet?

Explanation

Step 1:

Area of rectangle = l × w square units; l = length; w = width

Step 2:

Area of the cookie sheet = l × w = $\frac{7}{13}$ × $\frac{5}{7}$ = $\frac{5}{13}$ square in

Q 6 - An envelope from the post office is $\frac{3}{5}$ ft long with a width of $\frac{1}{3}$ ft. What is the area of the envelope?

Explanation

Step 1:

Area of rectangle = l × w square units; l = length; w = width

Step 2:

Area of the envelope = l × w = $\frac{3}{5}$ × $\frac{1}{3}$ = $\frac{1}{5}$ square ft

Q 7 - A pond is $\frac{4}{7}$ mile in length and $\frac{3}{5}$ mile in width. What is the area of the pond?

Explanation

Step 1:

Area of rectangle = l × w square units; l = length; w = width

Step 2:

Area of the pond = l × w = $\frac{4}{7}$ × $\frac{3}{5}$ = $\frac{12}{35}$ square mile

Q 8 - A table top is $\frac{4}{5}$ yard in length and $\frac{2}{3}$ yard in width. What is the area of the table top?

Explanation

Step 1:

Area of rectangle = l × w square units; l = length; w = width

Step 2:

Area of the top = l × w = $\frac{4}{5}$ × $\frac{2}{3}$ = $\frac{8}{15}$ square yd

Q 9 - An island in the Pacific Ocean was $\frac{8}{13}$ miles wide and $\frac{9}{11}$ miles long. What is the area of the island?

Explanation

Step 1:

Area of rectangle = l × w square units; l = length; w = width

Step 2:

Area of the island = l × w = $\frac{8}{13}$ × $\frac{9}{11}$ = $\frac{72}{143}$ square miles

Q 10 - A window had a length of $\frac{7}{9}$ yard and a width of $\frac{5}{8}$ yard. What is the area of the window?

Explanation

Step 1:

Area of rectangle = l × w square units; l = length; w = width

Step 2:

Area of the window = l × w = $\frac{7}{9}$ × $\frac{5}{8}$ = $\frac{35}{72}$ square yd

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