Question

Chris wants to create a rectangular rose garden in a yard. He has 48 meters of garden fencing to go around the garden and he has to use it all. Pick two different ways in which he could construct the garden.

Answer 1

If the length is kept 16 or 14 and the breadth 8 or 10 the outer fencing can be 48 meters.

Explanation:

The boundary gives the perimeter . Using the formula of the perimeter for a rectangle where L= length and B= breadth

P = 2(L+B)

48= 2(L+B)

24= (L+B)

The length must be longer than the breadth in the rectangle so we can obtain the sum of 24 in such a way that one side is longer than the other.

24= 16+8

or 24= 14+10

where the length can be 16 or 14 and breadth can be 8 or 10 .

If the length is kept 16 or 14 and the breadth 8 or 10 the outer fencing can be 48 meters.