The length of a rectangle is 4 ti mes of its breadth If the area of the rectangle is 576 cm2 then wh...........

Quantitative Aptitude (MTS) Mensuration 2D

The length of a rectangle is 4 ti.mes of its breadth. If the area of the rectangle is 576 cm², then what is the perimeter of

this rectangle?

This questions was previously asked in

SSC MTS 18th July 2022 Shift-2

56 cm

60 cm

120 cm

112 cm

- Let's denote the breadth of the rectangle as \( b \).

- The length is 4 times the breadth, so it's \( 4b \).

- The area of the rectangle is given by length \(\times\) breadth = \( 4b \times b = 576 \) cm\(^2\).

- Solving \( 4b^2 = 576 \) gives \( b^2 = 144 \).

- Thus, \( b = 12 \) cm.

- The length \( l \) is \( 4 \times 12 = 48 \) cm.

- The perimeter formula is \( 2(l + b) \).

- So, the perimeter is \( 2(48 + 12) = 2 \times 60 = 120 \) cm.

- Option 3: 120 cm is the correct choice.

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