brennanr2011
Answered

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The area of a rectangle is 3/5 square meter. The width is 2/5 meter. a. What is the length of the rectangle? Write your answer as a fraction in simplest form. The length of the rectangle is _ meters. b. How many times greater is the length than the width? Write your answer in simplest form. The length is _ times greater than the width.

Sagot :

sqdancefan

Answer:

  a. 3/2 meters

  b. 15/4 times as great

Step-by-step explanation:

You want the width of a rectangle that is 3/5 m² in area and 2/5 m long. You also want to know the factor by which the length is greater than the width.

a. Width

The formula for the area of a rectangle is ...

  A = LW

Filling in the known values, we can solve for the length:

  3/5 m² = (2/5 m)·L

  L = (3/5)/(2/5) m = 3/2 m . . . . . . divide by the coefficient of L

The length of the rectangle is 3/2 meters.

b. Aspect ratio

The ratio of length to width is ...

  length/width = (3/2 m)/(2/5 m) = (15/10)/(4/10) = 15/4

The length is 15/4 times greater than the width.

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