Chapter 7.2, Problem 3STP

For Exercises $1-5,$ choose the correct letter.

A rectangular pasture has a fence around the perimeter. The length of the fence is $16x^7$ and the width is $48x^4$.

What is the area of the pasture?

A. $3x^3$

B. $128x^{11}$

C. $768x^{11}$

D. $768x^{28}$

To determine

To find: the area of pasture.

Answer to Problem 3STP

C. $768x^{11}$

Explanation of Solution

Given information:

Given that

Length = $16x^7$ , width = $48x^4$ .of a pasture.

Calculation:-

Area of rectangular pasture = $\text{Length} \times \text{width}$

Length = $16x^7$ , width = $48x^4$ .

Area of pasture = $16x^7\times 48x^4$

  $=16\times 48x^7{x}^4$

  $=768x^{7+4}=768x^{11}$

Hence, option C is true.