The width of a rectangular section is 8 times its length, find the area of the section if its perimeter is 144 cm.
August 16, 2021 | education
| First, we express the sum of the length and width of the section from the specified perimeter value.
To do this, divide 144 meters by 2.
Will be:
144/2 = 72 m.
Since we know that the length is in relation to the width, as 8: 1, then the sum of equal parts will be equal to:
8 + 1 = 9.
From this it follows that the width of the section is:
72 * 1/9 = 72/9 = 8 meters.
The length of the section is:
72 * 8/9 = 64 meters.
We find the area.
We multiply the length by the width.
64 * 8 = 512 m2
Answer:
Land area 512 m2
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