Q8. - Geometry

Question

The base of a rectangle is $4k-1$ and height$k+2$ . What is the area?

Step-by-Step Solution

Answer

The area of the rectangle is  $(4k^2+7k-2)sq.unit$

Step 1. Given information.

Base of the rectangle$b=4k-1$

Height of the rectangle$h=k+2$ .

Step 2. Concept Used.

If b is the base of the reactangle and h is the height of the rectangle.

Then, the   area of the rectangle is $A=b\times h$

Step 3. Let’s calculate the area of the rectangle.

Put the value of base and height  into the formula and find the area.

Area of the rectangle :

$\begin{array}{c}A=(4k-1)(k+2)\\ =(4k^2+7k-2)sq.unit\end{array}$

Therefore, the area of the rectangle$(4k^2+7k-2)sq.unit$ is .