A 5m wide lawn is cultivated all along the outside of a rectangular plot measuring 90*40m.Find the total area of the lawn.
Answers
Hello mate,
Here is your answer,
Area of the lawn = Area of outer rectangle - Area of inner rectangle. --- (1)
Measure of outer rectangle = length = 90 + 5 + 5 = 100m.
Width = 40 + 5 + 5 = 50m.
Area of outer rectangle = length * width
= 100 * 50
= 5000 sq.m. --- (2)
Area of inner rectangle is given directly = 90 * 40 = 3600 sq.m. -- (3)
Substitute (2) and (3) in (1), we get
Area of lawn = 5000 - 3600
= 1400 sq.m.
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Answer:
Area of the lawn = 1400m²
Step-by-step explanation:
Given
The dimensions of a rectangular plot = 90×40m
The width of the lawn outside the rectangular plot = 5m
To find
The area of the lawn
Recall the concept
Area of a rectangle = length × breadth
Solution:
Area of the lawn = area of the plot including the lawn - area of the plot -----(1)
To find the area of the plot including the lawn
Length of the plot including the lawn = 90+5+5 = 100m
Breadth of the plot including the lawn = 40 + 5+ 5 = 50m
Area of the plot including the lawn = length × breadth
= 100 ×50
= 5000m²
Area of the plot including the lawn = = 5000m²
Area of the plot = 90×40 = 3600m²
Hence, from equation (1) we get
Area of the lawn = 5000 - 3600 = 1400m²
∴ Area of the lawn = 1400m²
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