Question

If the diagonal and area of a rectangle are 25 mand 168 m2 . Find the length pf rectangle.

Answer 1

Step-by-step explanation:

Given, area of rectangle =168m2 and diagonal =25 m

Let l,b be length and breadth of rectangle.

∴l×b=168         .....(1)

Since, l2+b2=252

⇒(l+b)2−2lb=625

⇒(l+b)2−2(168)=625

⇒(l+b)2=625+336=961

⇒l+b=961=31

⇒l=31−b

On substituting l=31−b in equation (1), we get

(31−b)b=168⇒b2−31b+168=0⇒(b−24)(b−7)=0⇒b=24,b=7

∴ dimensions of rectangle are =24,7

Hence, option D is correct.