Question

Dinesh wants to exchange his rectangular plot with a square plot of side 84 m. If the length of the rectangular plot is 144 m.
Find the breadth of the rectangular plot.
(a) 70 m
(b) 60 m
(c) 50 m
(d) 49 m

no spam
✅ need quality answer​

Answer 1

Step-by-step explanation:

area of square = side x side =84x84=7056 m^2

area of rectangle =length x breadth

Let breadth be x 144 =7056

x=7056/144

x=49m

hence breadth = 49 m

Answer 2

${\sf{\underline{\underline{\bigstar{\ Given:-}}}}$

• Dinesh wants to exchange his rectangular plot with a square plot of side 84 m.

• If the length of the rectangular plot is 144 m.

${\sf{\underline{\underline{\bigstar{\ To\:\:Find:-}}}}$

• Find the breadth of the rectangular plot.

${\sf{\underline{\underline{\bigstar{\ Solution:-}}}}$

• Side of the square plot = 84 m

• Length of the rectangular plot = 144 m

According to the question,

• Area of the square plot = Area of the rectangular plot

• = 84 x 84 = 144 x Breath

• ∴ Breath = ${\sf{\frac{84\:x\:84}{144}$ = 49 m

Option (d) is correct

$\huge{\boxed{\sf{\ Hence\:\:Proved}}}$