The figure shows a plot with sides 14m and 12m, and with a crosspath. What other measurements do you need to find the area of the crosspath? Once you identify the lengths to be measured, assign some possible values of your choice and find the area of the path. Give a formula for the area based on the measurements you choose.

Question

Bright Tutorials · Accepted Answer

Measurements needed:
Length of plot = 14 m
Width of plot = 12 m
Width of horizontal path = x
1
Width of vertical path = x
2
Assign values:
Let x
1
= 2 m
x
2
= 2 m
Now area of horizontal path = 14 × 2 = 28 m
Area of vertical path = 12 × 2 = 24 m
Area of overlapping square = 2 × 2 = 4 m
2
∴ Area of cross path = 28 + 24 – 4 = 48 m
2
Formula = Area of cross path = (L × w
1
) + (W × w
2
) – (w
1
× w
2
)
Here, L = length of plot
W = Width of plot
w
1
= Width of horizontal path
w
2
= Width of vertical path

Area — Question 3