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A rectangle is 5 cm long and 3 cm wide. Its perimeter is doubled when each of its sides is increased by x cm. Find an equation in x and its new length |
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Answer» Answer: 14.5cm Step-by-step explanation: PERIMETER of rectangle =2(l+b) =2(8+5)cm=26cm New LENGTH =(8+x)cm New BREADTH =(5+x)cm Given 2(8+x+5+x)=26+2x ⇒2(13+2x)=52⇒13+2x= 2 52
=26 ⇒2x=13⇒x= 2 13
=6.5cm Therefore New Length =(8+6.5)cm =14.5cm |
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