Question

Asked by arindeep.singh | 27th Apr, 2020, 10:26: AM

Expert Answer:

Ramesh wants to build a small fence around the garden in his backyard. The garden is in the shape of a right triangle. If one leg is 2 metres and other leg is 1 metre. He goes to a store for purchasing fencing. The store sells fencing in tenths of a metre.

(A) What is the perimeter of Ramesh's garden? Show all your work.

(B) What length of fencing should Ramesh buy if the store only sells fencing in tenth of a metre?

Solution:

One leg = 2 metres and the other leg = 1 metre

As the garden is in the shape os a right triangle, so we'll use pythagoras theorem here.

Therefore we have

Hypotenuse2 = 22 + 12 = 4 + 1 = 5

Hypotenuse equals square root of 5 space metre
Tenth space of space straight a space metre space equals space 1 over 10 space of space 1 straight m space equals space 1 space decimetre
rightwards double arrow 1 space metre space equals space 10 space decimetre
left parenthesis straight A right parenthesis
Perimeter space of space straight a space garden space equals space 2 plus 1 plus square root of 5 equals open parentheses 3 plus square root of 5 close parentheses space metre equals open parentheses 3 plus square root of 5 close parentheses cross times 10 space decimetre
square root of 5 equals 2.23
rightwards double arrow Perimetre space of space straight a space garden space equals space open parentheses 5.23 close parentheses cross times 10 equals 52.3 space decimetre
left parenthesis straight B right parenthesis
As space the space perimetre space of space straight a space garden space is space 52.3 space decimetre.
Thus comma space Ramesh space should space buy space 52.3 space decimtre space of space fencing space to space fence space around space the space garden.

Answered by Renu Varma | 27th Apr, 2020, 10:59: AM