a 50-meter path surrounds a rectangular garden. The width of the garden is five meters less than its length. Find the length and

Question

Marina86 [1]

3 years ago

14

a 50-meter path surrounds a rectangular garden. The width of the garden is five meters less than its length. Find the length and

width.

Mathematics

1 answer:

rewona [7] · Answer 1 · 2022-01-17T15:46:04+03:00

rewona [7]3 years ago

4 0

Suppose length is X -----> [1]
so the width is X - 5 -----> [2]

perimeter of rectangle = 2 ( length + width )
50 = 2 ( X + X - 5 )
50 = 2 ( 2X - 5 )
50 = 4X - 10
50 + 10 = 4X
60 = 4X
60/4 = X
15 = X

subsitute in [1] and [2]
length = 15 meters
width = 15 - 5 = 10 meters