Question

A 10 M long rope is to be cut into two pieces and a square is to be made using each. the difference in the area enclosed must be 1 and 1 by 4 square metres how should it be cut? answer using algebra X and Y length as X and breadth as y​

Answer 1

Step-by-step explanation:

1

2

3

Q. 1

4.0

( 4 Votes )

A 10-metre-long r

Class 9th

Kerala Board Mathematics Part-1

3. Pairs of Equations

Answer

Let the larger part of rope be ‘x’ and smaller part be ‘y’.

According to question,

x + y = 10 … (1)

Area of larger square – area of smaller square

⇒

⇒

⇒

⇒

⇒

⇒ 8(x – y) = 1

⇒ 8x – 8y = 1 … (2)

Equating equation (1) and (2)

x + y = 10

8x – 8y = 1

Multiply equation (1) by 8

8x + 8y = 80 … (3)

8x – 8y = 1 … (2)

16x = 81

Put

in equation (2)

⇒

⇒

⇒

⇒

⇒

⇒

⇒

∴ The length of the rope to after cutting should be

respectively.