Mensuration Practice Test 8

Question : 28 of 40

Marks: +1, -0

The area of a square is 1,444 sq. m. The breadth of a rectangle is 1/4 the side of the square and the length of the rectangle is thrice the breadth. What is the difference between the area of the rectangle?

1,152.38 sq. m
1,169.33 sq. m
1,181.21 sq. m
1,173.25 sq. m
None of these

Validate

Solution:

Area of square = 1,444 sq. m.
Side of square =

√{1444}

= 38 m
Breadth of the rectangle =

1/4

of (38) = 9.5
Length of the rectangle = 3 of (9.5) = 28.5 m
Area of the rectangle = L × b
= 9.5 × 28.5
= 270.75

m^2

.
Difference between the area of rectangle
1,444 − 270.75 = 1,173.25 sq. meter

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