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
The perimeter of a rectangle is given by the equation P = 2(L + W), where P is the perimeter, L is the length, and W is the width.
In this case, the length of the fence is 16x^7 and the width is 48x^4. Plugging these values into the equation, we get:
P = 2(16x^7 + 48x^4)
P = 2(16x^7 + 96x^4)
P = 2(112x^4)
P = 224x^4
The area of a rectangle is given by the equation A = L * W, where A is the area, L is the length, and W is the width.
Plugging in the values for length and width, we get:
A = 16x^7 * 48x^4
A = 768x^11
Therefore, the area of the pasture is 768x^11.
The correct answer is c. 768x^11.