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The width of a rectangle is 6 cm less than its length. If its perimeter is 80 cm then its lengths (in cm) and area (in cm²) are respectively
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Dec 3, 2018
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The width of a rectangle is 6 cm less than its length. If its perimeter is 80 cm then its lengths (in cm) and area (in cm²) are respectively
Mathematics
college
Dnyaneshwar Harer
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Dnyaneshwar Harer
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Start by stating the given info as mathematical expressions:
1. "
The width of a rectangle is 6 cm less than its length."
2. "I
ts perimeter is 80 cm."
Using the formula for perimeter (
) we can show:
.
We now have 2 equations in 2 unknowns and can solve by substitution:
The length is 23cm.
Having the length w can then find the width:
The width is 17cm.
And finally the area:
The area is
.
As a check we can use the known perimeter:
Checks true.
Shoaib Ijaz
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Dec 8, 2018
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Shoaib Ijaz
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