Chapter 7.1, Problem 4BGP

To determine

To express: The area of triangle with height 4a and base $5a{b}^2$ as a monomial.

Answer to Problem 4BGP

The area of triangle is $10a^2{b}^2$ .

Explanation of Solution

Given information:

The height of a triangle is $4a$ .

The base of a triangle is $5a{b}^2$ .

Calculation:

  $Area=\frac{1}{2}\times base\times height$

(Formula for area of triangle)

  $=\frac{1}{2}\times \text{'}5a{b}^2\times 4a$

(Substitute the values of base and height)

  $=\left(\frac{1}{2}\cdot 5\cdot 4\right)\left(a\cdot a\right)\left(b^2\right)$

(Group the variables and the coefficients)

  $=10a^2{b}^2$

(Simplify)