Question

The length of a rectangle is 6/5 times it's breadth. If the
perimeter of the rectangle be 132 m, then it's area is
(1) 640 sqm
(2) 1080 sqm
(3) 1620 sq m
(4) 2160 sqm​

Answer 1

Answer:

Refer the attachment for your answer mate :)

Step-by-step explanation:

Fromula to find Perimeter of a rectangle = 2(length+ breadth)

Formula to find the area of rectangle = length ×breadth

Answer 2

Given :-

• Length of rectangle = 6/5 times the breadth
• Perimeter = 132 m

To find :-

• Area of rectangle

Solution :-

Let the breadth be x and the length of rectangle be 6/5 x

• Perimeter of rectangle = 2(l + b)

: $\implies\sf{2(x + \dfrac{6}{5}x) = 132}$

: $\implies\sf{2x + \dfrac{12}{5}x = 132}$

: $\implies\sf{\dfrac{10 + 12}{5}x = 132}$

: $\implies\sf{\dfrac{22}{5}x = 132}$

: $\implies\sf{x = \dfrac{132 \times 5}{22} }$

: $\implies\sf{x = 30 \: cm}$

Breadth = x = 30 cm

Length = $\sf{\dfrac{6}{5}}$x = $\sf{\dfrac{6}{5} \times 30}$ = 36 cm

Formula to find area -

Area = length × breadth

= (30 × 36) sq cm

= 1,080 sq cm

Hence, option (2) is correct.