Can anyone help me with this math question please give a reasonable explanation Thankyou?

The sides of a rose garden in the shape of a right triangle are in the ratio of 8:15:17. If the perimeter is 60 feet, what is the length of the shortest side?



F 51/3 ft

G 12 ft

H 20 ft

J 221/2 ft

K 251/2 ft

Can anyone help me with this math question please give a reasonable explanation Thankyou?
add the ratios together to get 8+15+17 = 40.



ratio of shortest side is 8/40 = 1/5



then multiply 1/5 by 60 = 12ft



* to get the other sides do the same thing;



15/40 x 60 = 22.5 ft

17/40 x 60 = 25.5 ft



add them together and you should get 60;



12 + 22.5 + 25.5 = 60 ft .....yep u do :)
Reply:The length of the shortest side = 12 ft



It is given that the ratio of the sides is 8:15:17

and the perimeter is 60 ft.

Obviously, the shortest side is the one with the ratio 8.

1. you add up the ratios: 8+15+17 = 40

therefore, the shortest side is 8/40 of the perimeter.

2. multiply the perimeter with the fraction: 60 x (8/40) = 12 ft
Reply:8 + 15 + 17 = 40

so the perimeter would be 40 ft if the sides were 8 ft, 15ft and 17 ft.

But the perimeter isn't 40 ft, it's 60 ft, so we just have to multiply these side-lengths by 60/40 = 3/2

The length of the shortest side is therefore 8 x 3/2 ft = 12 ft
Reply:In ratios, the total number of parts is always useful. here it is 8+15+17 =40 but as the perimeter is 1.5 times this total, then all the sides must also be 1.5 times teh relevant part of the ratio - so they are 12, 22.5 and 25.5 ft

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