The length of a rectangle is less than twice its width by 55 units. If the perimeter of a rectangle is 80 cm then find its area.
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Answered by
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Step-by-step explanation:
let width of ractangle be a.
=> length = 2a-55
=> perimeter = 2(a+2a-55) = 80
=> 6a-110 = 80
=>. 6a = 190
=> width a = 95/3 units
length = 2a-55 =( 190-165) /3 = 25/3 units
=> area = (25/3)(95/3)
= 2375/9 units²
= 263.89 units²
hope this helps you
Answered by
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let the width be a and length is 2a-55
perimeter = 80
2(a+2a-55) = 80
2(3a -55) = 80
(3a -55) = 40
3a = 40 +55
3a = 95
a= 95 /3
a= 31.6
length = 2a-55 = 7.2
area of reactangle = length ×breadth = 31.6 × 7.2 = 227.52 cm²
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