Question

If the diagonal of a rectangle is 17cm long and its perimeter is 46 cm. Find the area of the rectangle.​

Answer 1

Answer:

let length = x and breadth = y then

2(x+y) = 46

x+y = 23

x²+y² = 17² = 289

now (x+y)² = 23²

=> x²+y²+2xy= 529

=> 289+ 2xy = 529

=> xy = 120

area = xy = 120 cm²

Answer 2

$\huge\mathcal{Find?}$
$<b><I>$
Area of rectangle ❓

$\huge\mathfrak{Answer}$

✔️120 is the area of rectangle ✔️

$\huge\mathfrak{Explanation:}$

▲let length = x and breadth = y then  

▲2(x+y) = 46         =>   x+y = 23  

▲x²+y² = 17² = 289  

▲now (x+y)² = 23² 

▲=> x²+y²+2xy= 529 

▲=> 289+ 2xy = 529

▲=> xy = 120  

▲Area:-
= xy =120 sq.cm

#Thank_uh✅