mishawn60 mishawn60
  • 23-12-2021
  • Mathematics
contestada

The perimeter of a rectangle is 39.2 km, and its diagonal length is 14 km.
Find its length and width

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winterluvbunnie
winterluvbunnie winterluvbunnie
  • 23-12-2021

Using the formulas to find its length =

P= 2 ( l + w )

d= w² + l²

There are 2 solutions for,

l = P / 4 + 1 / 4 √8d² - p²

= 39.2 / 4 + 1 / 4 × √8 × 14² - 39²

= 11. 2 km answer.

Using the formula to find its width =

w = p / 2 - l

= 39.2 / 2 - 11.2

= 8.4 km answer.

≈ the length of a rectangle is 11.2 km and the width is 8.4 km

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