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Perimeter and Area of Plane Figures — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSPerimeter and Area of Plane Figures5 Marks
Question
A rectangle of area $144 cm^2$ has its length equal to x cm. Write down its breadth in terms of x. Given that its perimeter is 52 cm, write down an equation in x and solve it to determine the dimensions of the rectangle.
[Hint. $\left.x^2-26 x+144=0 \Rightarrow x^2-18 x-8 x+144=0 \Rightarrow(x-18)(x-8)=0.\right]$
✓

Answer

Breadth $=\frac{144}{x} cm, x+\frac{144}{x}=26, x=18$ or $x=8$, Length $=18 m$, Breadth $=8 m$

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