A rectangular garden has dimensions of 100 feet by 10 feet. The next season the garden decreased by two fithsof its size what is the scale drawing for the new garden show

That is the scale drawing of the new garden should be (√15)/5 of the dimensions of the previous garden dimensions

Step-by-step explanation:

Here we have, dimensions of the garden = 100 ft by 10 ft

Therefore, area of the garden = 100 × 10 = 1000 ft²

The decrease in size of 2/5 its size on the next season is presented s follows;

Size decrease = 2/5 × 1000 = 400 ft²

New area of the garden = 1000 - 400 = 600 ft²

The scale drawing for the new garden is given by the relation;

Ratio of the sides of the garden = 100:10 = 10:1

Therefore, whereby the new length, l, and breadth, b, of the garden gives;

l × b = 600 ft²

l/b = 10/1

l = 10·b, which gives

10·b × b = 600

b² = 60

b = √60 = 2·√15

∴ l = 20·√15

Which gives a scale of (2·√15)/10 = (√15)/5

That is the scale drawing of the new garden should be (√15)/5 of the dimensions of the previous garden dimensions.

step-by-step explanation: