Question

The length of a rectangle is 12 cm more than 6 times the width The perimeter is 108cm. How do you find length and width?

Answer 1

Breadth = 6cm and length =48cm

Explanation:

In word problems where you want an equation, you need to define the unknown quantities first. It helps to choose the smaller quantity as `x` and write the other quantities in terms of `x`.

Let the breadth of the rectangle be `x`.
6 times the breadth is `6x`.
The length is 12cm longer than `6x`
The length is `6x + 12`

The perimeter of 108cm is made of 4 sides all added together, 2 lengths and 2 breadths. Write this..

`x + x + (6x +12) + (6x + 12) = 108" now solve for " x`

`14x +24 = 108`
`14x = 84`

`x = 6`

`x=6` is the breadth and `6x+12 = 36+12 = 48` is the length,

Check:
`6+6+48+48 = 108`cm