Area and Perimeter Practice Test 3

Question : 10 of 40

Marks: +1, -0

The perimeter of a square and a rectangle is the same. If the rectangle is 12 cm by 10 cm, then by what percentage is the area of the square more than that of the rectangle?

$5/6$ %
$1 1/6$ %
$1 5/6$ %
None of these

Validate

Solution:

Perimeter of the rectangle = 2(12 + 10) = 44 cm
Hence, side of the square =

{44}/4

= 11 cm
Area of the square =

(11)^2

= 121

cm^2

Area of the rectangle = 12 × 10 = 120

cm^2

Required percentage =

{121-120}/{120} × 100

{100}/{120}

5/6

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