Answer:
The scale drawing for the new garden is 3:5
Step-by-step explanation:
Given;
the dimension of the rectangular garden = 100 feet by 10 feet
Size of the rectangular garden = 100 ft x 10 ft = 1000 ft²
If by next season the garden decreased by two fifth of its size, then the new size of the garden will be calculated as;
New size of the garden = old size - (²/₅ of the old size)
New size of the garden = 1000 ft² - (²/₅ x 1000 ft²)
New size of the garden = 1000 ft² - 400 ft²
New size of the garden = 600 ft²
the scale drawing for the new garden = new size / old size
= 600 ft² / 1000 ft²
= ³/₅
The scale drawing for the new garden is 3:5
Answer:
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.
