Question

Q) A rectangular field is 35m longer than it is wide. The area is 6500 square meters. What is the length of the filed

OPTIONS:
A) 100m
B) 65m
C) 330
D) 85m

Answer 1

Step-by-step explanation:

Given,length of rectangular field is 35m longer than its width(breadth).

Let breadth(b) = x metres.

=> length(l) = (x+35)metres.

Area of rectangular field = 6500 m^2

We know,area of rectangle = l×b

=>l×b=area of rectangular field

=>(x+35) ×(x) =6500m^2

=>x^2+35x=6500m^2

=>x^2+35x-6500=0

[Factorize it]

=>x^2+(100-65)x-6500=0

=>x^2+100x-65x-6500=0

=>x(x+100)-65(x+100)=0

=>x^2+100x-65x-6500=0

=>x(x+100)-65(x+100)=0

=>(x+100)(x-65)=0

=>x= - 100 or 65

But, x can't be negative as it is the length of the rectangular field.

=>breadth(b)= x = 65m

=>length(l) = x + 35 = (A) 100m ans.