Question

The area of a rectangle is 6a^2 + 36a and its width is 36a. Find its length.

Answer 1

Step-by-step explanation:

Given :

Area of rectangle : 6a²+36a

Breadth : 36a

To Find :

Length

Solution :

We know that,

Area of rectangle = length × breadth

or , length = Area of rectangle/breadth

=> 6a²+36a/36a

=>6a(a + 6)/36

=> (a+6)/6

The required length is (a+6)/6.

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Answer 2

Area of rectangle = $6a^{2} +36a$

                               = $6(a^{2} +6a)$

                               = $6a(a+6)$

Breadth = $36a$

Length =?

Area = Lenght × Breadth

Length = $\frac{Area}{Breadth} = \frac{6(a^{2} +6a)}{36a} = \frac{6a(a+b)}{36a}$

Length = $\frac{(a+6)}{a}$

∴ The length is equal to $\frac{(a+6)}{a}$.