Question

Q. ) The length of rectangular base is more than its
breadth by 7m and diagonal is more than length by 1m
.Find the length and breadth of the rectangle.​

Answer 1

Step-by-step explanation:

Let the length be l & breadth be x

l = b+7

diagonals =

l

2

+b

2

l

2

+b

2

=l+1

substituting the value of l,

(b+7)

2

+b

2

=b+7+1

⇒

b

2

+49+14b+b

2

=b+8

⇒ Squaring both sides:-

2b

2

+14b+49=(b+8)

2

⇒2b

2

+14b+49=b

2

+16b+64

⇒b

2

−2b−15=0

⇒(b−5)(b+3)=0

Since b cannot be negative,

∴ b = 5 & l = 12