Answer:
The width of the base of the house is 25 feet
The length of the base of the house is 35 feet
Step-by-step explanation:
Displayed in the attachment is the plot of land drawn out in WXYZ(not to scale)
With the southwest corner coordinate (0,0) as the reference point
Plotted out is the base of the house built on it with coordinates (20,20),(5,40),(33,61),(48,41)
With A and B labelled width and length respectively
Length between coordinates is given as
Length=√(〖(x2-x1)〗^2+(〖y2-y1)〗^2 )
To find the width A,the points with coordinates (20,20) and (5,40) are used or (33,61) and (48,41)
Using point with coordinates (20,20) and (5,40)
Width, A=√(〖(5-20)〗^2+(〖40-20)〗^2 )=35
with x1=20, y1=20, x2=5, y2=40
Also try using points with coordinates (33,61) and (48,41).You will get same answer(opposite sides of a rectangle are equal)
To find the length B,the points with coordinates (48,41) and (20,20) are used or (5,40) and (33,61)
Using point with coordinates (48,41) and (20,20)
Length,B=√(〖(48-20)〗^2+(〖41-20)〗^2 )=25
with x1=20, y1=20, x2=48, y2=41
Also try using points with coordinates (5,40) and (33,61).You will get same answer(opposite sides of a rectangle are equal)
