Question

Camping A rectangular campground has length 4x + 7 and width 3x – 2. What is the area of the campground?

Answer 1

A rectangular campground has length 4x + 7 and width 3x – 2.

`\text{Area}=\text{length x breadth}`
`\text{Area}=\text{leghth x width}`
`\begin{gathered} \text{Area = length }* width\text{ } \\ \text{Area}=(4x+7)(3x-2) \end{gathered}`
`\begin{gathered} \text{Area = 4x+7)(3X-2)} \\ \text{Area}=4x(3x-2)+7(3x-2) \\ =12x^2-8x+21x-14 \\ =12x^2+13x-14 \end{gathered}`

Therefore the area of the campground =

`12x^2+13x-14`