A rectangular pasture has a fence around the perimeter. The length of the fence is 8x^7 and the width is 6x^4. What is the area of the pasture?

The area of the rectangular pasture is 768x^{11}\ unit^{2}.768x

11

unit

2

.

Step-by-step explanation:

Formula

Area of a rectangle = Length × Breadth

As given

A rectangular pasture has a fence around the perimeter. The length of the fence is 16x^{7}16x

7

and the width is 48x^{4}48x

4

.

Put all the values in the formula

Area\ of\ a\ rectangular\ pasture = 16x^{7}\times 48x^{4}Area of a rectangular pasture=16x

7

×48x

4

Now by using the exponent

x^{a}\times x^{b} = x^{a+b}x

a

×x

b

=x

a+b

Area\ of\ a\ rectangular\ pasture = 16\times 48\times (x^{7+4})Area of a rectangular pasture=16×48×(x

7+4

)

Area\ of\ a\ rectangular\ pasture = 768(x^{11})Area of a rectangular pasture=768(x

11

)

Therefore the area of the rectangular pasture is 768x^{11}\ unit^{2}.768x

11

unit

2

.

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step-by-step explanation:

step-by-step explanation:

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