Question

The area of a rectangle is 6a2 + 36a and 36a width. Find  the length of the rectangle.​

Answer 1

Step-by-step explanation:

Area of rectangle = 6a^{2} +36a6a

2

+36a

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

2

+6a)

= 6a(a+6)6a(a+6)

Breadth = 36a36a

Length =?

Area = Lenght × Breadth

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

Breadth

Area

=

36a

6(a

2

+6a)

=

36a

6a(a+b)

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

a

(a+6)

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

a

(a+6)

.