Question

2) The length of a rectangle is greater than its breadth by 2 cm. The area of the rectangle is 24 cm. Find its length and breadth.​

Answer 1

Answer:

length= 6

breadth= 4

Step-by-step explanation:

Area of rectangle= 24cm

Formula for area of rectangle= length x breadth

Length is greater by 2cm than breadth

= 6 x 4 = 24

Therefore length is 6 cm and breadth is 4 cm.

Answer 2

Answer:

Step-by-step explanation:

Let the length of rectangle be "l" and it's breadth be "b"

Given that, l is greater than it's breadth by 2

l = b+2 -----eqs.1

Also given that,area of rectangle is 24

l×b=24 ------eqs.2

Substituting eqs.1 in eqs.2

l×b=24

(b+2)×b=24 (since l=b+2, replacing the value)

b²+2b=24

b²+2b-24=0

Finding value of b by splitting the middle term.

b²+6b-4b-24=0

b(b+6) -4(b+6)

(b-4)(b+6)

b=4,-6 (breadth cannot be in negative so -6 is neglected)

b=4cm

using value of "b",we can find "l"

l=b+2

l=4+2

l=6cm

Therefore, length of rectangle is 6cm and it's breadth is 4cm