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murzikaleks [220]
3 years ago
12

two sides of a pentagon have a length of (3x-2)cm and three sides have a length of (2x+4)cm. If the perimeter is 104 cm, find th

e length of the longest side.
Mathematics
1 answer:
Schach [20]3 years ago
7 0
The perimeter is the sum of all sides.
2(3x-2)+3(2x+4)=104 \\
6x-4+6x+12=104 \\
12x+8=104 \ \ \ |-8 \\
12x=96 \ \ \ |\div 12 \\
x=8 \\ \\
3x-2=3 \times 8-2=24-2=22 \\ \\
2x+4=2 \times 8+4=16+4=20

Two sides have a length of 22 cm, three sides have a length of 20 cm.

The longest side is 22 cm long.
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The company XYZ bought property for OMR 600,000 on 1 January 2017. The land element of the purchase was OMR 100,000. The expected life of the building was 30 years and its residual value nil. On 31 December 2019, the property was revalued to OMR 700,000, of which the land element was OMR 124,000 and the building – OMR 576,000. On 31 December 2020, the property was sold for OMR 680,000.

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Step-by-step explanation:

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