Javier is putting down sod at his new house. The width of his rectangular yard is 14 feet. He bought 378
square feet of sod. Which of the following is the length of the yard in feet?
A tens
+
B
280

Respuesta :

Answer:

27 feet

Step-by-step explanation:

Let

L ----> the length of the yard in feet

W ---> the width of the yard in feet

we know that

The area of the yard is equal to

[tex]A=LW[/tex]

we have

[tex]A=378\ ft^2\\W=14\ ft[/tex]

substitute the given values in the formula

[tex]378=14L[/tex]

Divide by 14 both sides

[tex]L=27\ ft[/tex]

The length of the rod is 27 feet.

A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other.

The area of a rectangle is given by:

Area = length * width

Let the length of the rectangle be x, since the width is 14 feet, hence:

Area = x * 14

378 = 14x

x = 27 feet

Hence the length of the rod is 27 feet.

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