Chapter 1.1, Problem 25PPS

To determine

To write: an expression to represent the area of the given triangle.

Answer to Problem 25PPS

  $A=x^2+7x$

Explanation of Solution

Given information:

A triangle is given as shown:

  

Area of a triangle is

  $A=\frac{1}{2}bh$

Where b is base of the triangle and h is the height.

Calculation:

Consider the given triangle.

  

Here, base is $x+7$ and height is $2x$ .

So, expression for Area of the triangle can be evaluated as

  $\begin{array}{c}A=\frac{1}{2}bh\\ =\frac{1}{2}\left(x+7\right)\left(2x\right)\\ =x\left(x+7\right)\\ =x^2+7x\end{array}$

Hence, the expression for area is $x^2+7x$ .