2. A square field is 1/8 mile long on each side. A tractor can plow about 180,000 square
feet per hour. To the nearest tenth of an hour, about how long does it take to plow the
field? (1 mile = 5280 feet)

Respuesta :

A square is a geometric shape also known as a quadrilateral. It is called a quadrilateral because it has four sides. The four sides of a square have equal length.

  • It will take 2.4 hours to plow the square field.

  • The area of a square  = (Side length)²

  • We are given the conversion rate: 1 mile = 5280 feet

  • Step 1: We convert the length of the side of the square from mile to feet

1 mile = 5280 feet

1/8 mile =  y feet

y feet = (1/8 mile x 5280 feet)  /  1 mile

y feet = 660 feet.

The length of the side of the square in feet is 660 feet

  • Step 2: We find the area of the square.

The area of a square  = (Side length)²

Area of the square = (660 feet)²

= 435,600 square feet.

The area of the square field is 435,600 square feet

  • Step 3:  To find how long it will take to plow the field

180,000 square feet = 1 hour

435,600 square feet = h

  • Cross Multiply

h = 435,600 square feet x 1 hour /  180,000 square feet

h = 2.42 hours

Therefore,  approximately to the nearest tenth of an hour, it will take 2.4 hours to plow the square field.

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