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Ahat [919]
3 years ago
5

A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 30 feet mor

e than the length of the shortest side. Find the dimensions of the perimeter is 146 feet.
Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0

Answer: the dimensions of the triangle are 29 feet, 58 feet and 59 feet.

Step-by-step explanation:

Let x represent the length of the shortest side.

Let y represent the length of the medium side.

Let z represent the length of the longest side(third).

One side twice the length of the shortest side. It means that

y = 2x

The third side is 30 feet more than the length of the shortest side.. This means that

z = x + 30

if the triangle's perimeter is 146 feet units, it means that

x + y + z = 146- - - - - - -- - - - -1

Substituting z = x + 30 and y = 2x into equation 1, it becomes

x + 2x + x + 30 = 146

4x = 146 - 30

4x = 116

x = 116/4

x = 29 feet

y = 2x = 2 × 29

y = 58 feet

z = x + 30 = 29 + 30

z = 59

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