the length of a rectangle is greater than yhe breadth by 18cm. If boyh length and breadth are increased by 6cm, the area increases by 168cm^2. find the length and breadth of the rectangle
Answers
Answer:
LENGTH=3 cm
BREADTH=21 cm
Step-by-step explanation:
Let length of the breadth=x cm
breadth of the rectangle =(x+18)cm
area of a rectangle=(l x b)
=[x(x+18)]=(x²+18x)cm²
New measurements,
length of the rectangle increases by 6cm= (x+18+6)=(x+22)
breadth of the rectangle also increases by 6cm=(x+6)
area of the rectangle=(l x b)
=(x+22)(x+6)
=x²+ 30x + 132
AFTER THE CHANGES IN THE MEASUREMENTS THE AREA INCREASES BY 168CM².
ATQ,
{new area - old area = area increased}
=(x² + 30x + 132)-(x²+18x)=168
x² + 30x + 132 - x² - 18x=168 <(+x²& - x² are cancelled)
30x - 18x = 168-132 <arrange them on LHS and RHS>
12x=36 <variables on one side and constant on one side>
X=36/12
X=3
•°• ORIGINAL,
length=X=3cm
breadth=(X+18)=3+18=21cm.(ans.)
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