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Question

Thomas bought 12 rectangular grass beds measuring 9 cm by 5 cm. When he arranged them on his lawn, 5 beds were left unused. Find the area of the lawn.

A
45 cm2
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B
225 cm2
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C
315 cm2
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D
540 cm2
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Solution

The correct option is C 315 cm2
Area of lawn
= Area of 12 grass bed - Area of 5 grass beds

Area of rectangular grass bed
= length x breadth
= (9×5) cm2

So, area of 12 grass beds =12(9×5) cm2
and, area of 5 grass beds =5(9×5) cm2

Area of lawn
= 12(9×5)5(9×5)
= (125)×9×5
= 7×9×5
= 7×45
= 315 cm2

Therefore, area of the lawn is 315 cm2.

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