sapphiretrebleclef sapphiretrebleclef
  • 21-06-2021
  • Mathematics
contestada

A rectangle's width is one-seventh its length, and its perimeter is 224 m. Find the dimensions of the rectangle.​

Respuesta :

rococo908
rococo908 rococo908
  • 21-06-2021

Answer:

98 m long and 14 m wide

Step-by-step explanation:

If the width is one seventh its length, the length is 7 times greater than the width.

Let the width be represented by w, and let the length be represented by 7w.

Use the perimeter formula, p = 2l + 2w.

Plug in 224 as the perimeter, 7w as l, and solve for w:

p = 2l + 2w

224 = 2(7w) + 2w

224 = 14w + 2w

224 = 16w

14 = w

The length is 7 times greater, so multiply this by 7:

14(7)

= 98

So, the rectangle is 98 m long and 14 m wide

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