A rectangular field is to be fenced on three sides leaving a side of 30 ft. uncovered. If the area of the field is 690 sq. ft., how many feet of fencing will be required?

Correct option is C

Given:

Length of the uncovered side = 30 ft

Area of the rectangular field = 690 sq. ft.

Formula Used:

Area = Length × Width

Fencing required = 2 × Width + Length (since one side is uncovered)

Solution:
Let the length of the field be L and the width be W.

From the given information, the area is:

L × W = 690 sq. ft.

Also, we know that the length of the uncovered side is 30 ft, so:

L = 30 ft

Substituting L = 30 into the area equation:

30 × W = 690

W = $$\frac{690}{30}$$​ = 23 ft

Now, the fencing is required for two widths and one length:

Fencing required = 2 × W + L = 2 × 23 + 30 = 46 + 30 = 76 ft

Thus, the total amount of fencing required is 76 feet.