Question

The breadth of the rectangle is 3 cm less its length and perimeter is 50 cm.Find its breadth and its area.​

Answer 1

Answer:

38 cm

Step-by-step explanation:

Where,

L = Length

B= Breadth.

Area of Rectangle=L×B}⟹AreaofRectangle=L×B

{88cm^2=(x)(x-3)}⟹88cm2=(x)(x−3)

{88cm^2=x^2-3x}⟹88cm2=x2−3x

{x^2-3x-88=0}⟹x2−3x−88=0

{x^2-11x+8x-88=0}⟹x2−11x+8x−88=0

x-11)+8(x-11)=0}⟹x(x−11)+8(x−11)=0

{(x+8)(x-11)=0}⟹(x+8)(x−11)=0

x=-8}⟹x=−8

{x-11=0}⟹x−11=0

x=11}⟹x=11

Hence, The length can' be negative so x=11.

Now,

Length=x=11cm}⟹Length=x=11cm

Breadth=x-3=8cm}⟹Breadth=x−3=8cm

Now,

perimeter=2(L+B)}⟹Perimeter=2(L+B)

Perimeter=2(11+8)}⟹Perimeter=2(11+8)

Perimeter=38cm}⟹Perimeter=38cm