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A rectangular field is 294 yards in length and 340 yards in width. Find the area of the field in acres.

Note: 1 acre = 43,560 square feet. Round to the nearest tenth of an acre.

Answer :

Answer:

20.7 acres

Step-by-step explanation:

A=wl=340·294=99960

convert 99960 yards to acres

Formula

divide the area value by 4840

= 20.7 acres

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Rewritten by : Barada

Final answer:

To find the area of the field in acres, calculate the area in square yards, convert to square feet, and then to acres. The rectangular field measures 294 yards by 340 yards, which is approximately 20.7 acres when converted and rounded to the nearest tenth.

Explanation:

To find the area of a rectangular field in acres, we first calculate the area in square yards, then convert this to square feet, and finally to acres using the given conversion factors. The field in question is 294 yards long and 340 yards wide.

First, we calculate the area in square yards:

Area = Length × Width

Area = 294 yd × 340 yd

Area = 99,960 yd²

Next, we convert the area to square feet, remembering there are 3 feet in a yard:

Area in sq ft = 99,960 yd² × (3 ft/yd) × (3 ft/yd)

Area in sq ft = 99,960 × 9

Area in sq ft = 899,640 ft²

Finally, we convert square feet to acres using the conversion factor 1 acre = 43,560 square feet:

Area in acres = 899,640 ft² / 43,560 ft²/acre

Area in acres = 20.66

Rounded to the nearest tenth of an acre, the area of the field is 20.7 acres.