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The perimeter of a rectangle having area equal to \( \Large \Large 144 cm^{2} \) and sides in the ratio 4 : 9 is

Correct Answer:

A) 52 cm |
B) 56 cm |

C) 60 cm |
D) 64 cm |

Correct Answer:

A) 52 cm |

Description for Correct answer:

Let l=4x and b = 9x

Area of rectangle = \( \Large l\times b \)

144=\( \Large 4x\times 9x \)=> \( \Large x^{2}=\frac{144}{36} \) => \( \Large x^{2} \)=4

x=2

l=8 cm and b=18 cm

Perimeter of rectangle = 2 (l + b)

= 2 (8 + 18)

= \( \Large 2\times 26 \) = 52 cm

Let l=4x and b = 9x

Area of rectangle = \( \Large l\times b \)

144=\( \Large 4x\times 9x \)=> \( \Large x^{2}=\frac{144}{36} \) => \( \Large x^{2} \)=4

x=2

l=8 cm and b=18 cm

Perimeter of rectangle = 2 (l + b)

= 2 (8 + 18)

= \( \Large 2\times 26 \) = 52 cm

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