Question

The length of a rectangle is 1 metre more than its breadth. Its area is 334 square metres. What are its length and breadth?​

Answer 1

Answer:

Register

1

2

3

Q. 2

4.0

( 4 Votes )

The length of a r

Class 9th

Kerala Board Mathematics Part-1

3. Pairs of Equations

Answer

Let the length be ‘x’ and breadth be ‘y’.

Length = Breadth + 1

⇒ x = y + 1 … (1)

Area of rectangle = Length × breadth

⇒

⇒

⇒

⇒ 15 = 4(y2 + y)

⇒ 15 = 4y2 + 4y

⇒ 4y2 + 4y – 15 = 0

⇒ 4y2 – 6y + 10y – 15 = 0

⇒ 2y (2y – 3) + 5(2y – 3) = 0

⇒ (2y – 3) (2y + 5) = 0

2y – 3 = 0 or 2y + 5 = 0

Hence, side of a rectangle cannot be negative. Therefore,

Put

in equation (1)

⇒

⇒

⇒

∴ The length is

metre and breadth are

metre.