the wilsons back yard is rectangular plot that has a length of 100 feet and a width of 80 feet .the family planted a garden with a length and width of 60 feet. the family planted the lawn in the remaining area of the back yard . what is the area in square feet

Respuesta :

the area in square feet is 4400. (because to find the area of the rectangle you multiply the 2 side lengths, 100 and 80 which gives you 8000, then you find the area of the square, multiply 60 by 60 which is 3600, then you subtract the total area of the backyard by the area taken up by the garden, 8000-3600, which gives you your total of 4400.)

Lanuel

The area of the lawn is equal to 4,400 square feet.

  • Let the length of the rectangle be L.
  • Let the width of the rectangle be W.

Given the following data:

  • Length of plot = 100 feet
  • Width of plot = 80 feet.
  • Length of garden = 60 feet
  • Width of garden = 60 feet

To find the area of the lawn in square feet;

First of all, we would find the area of the garden and the rectangular plot.

Mathematically, the area of a rectangle is given by the formula;

[tex]Area = Length[/tex] × [tex]Width[/tex]

Area of rectangular plot;

[tex]Area = 100[/tex] × [tex]80[/tex]

Area = 8,000 square feet.

Area of garden;

[tex]Area = 60[/tex] × [tex]60[/tex]

Area = 3,600 square feet.

Next, find the area of the lawn by subtracting the area of the garden from the area of the rectangular plot.

[tex]Area \; of \; lawn = Area \; of \; rectangular \; plot - Area \; of \; garden[/tex]

Substituting the values, we have;

[tex]Area \; of \; lawn = 8000 - 3600[/tex]

Area of lawn = 4,400 square feet.

Therefore, the area of the lawn is equal to 4,400 square feet.

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