The area of a rectangle is 320 in^2. The ratio of the length to the width is 5:4. Find the length and the width.

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is 5/4w, and the area is ...

  A = LW

  320 in² = (5/4w)(w)

  256 in² = w² . . . . . . . . . multiply by 4/5

  16 in = w . . . . . . . . . . . . take the square root

  5/4w = 5/4(16 in) = 20 in . . . . the length

The length of the rectangle is 20 inches; its width is 16 inches.

15.5

step-by-step explanation:

5

∑

n = 1

substitute n = 1, 2, 3, 4, 5 and sum the terms

= + + + 2² + 2³

= 0.5 + 1 + 2 + 4 + 8

= 15.5

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step-by-step explanation: