Question

In the given figure $PQRS$ and $TURV$ are rectangles. If the perimeter of the unshaded rectangle $TURV$ is $32cm$, find the value of $x$.

• A. $2cm$
• B. $4cm$
• C. $6cm$
• D. $8cm$

Answer 1

The correct option is A $2cm$

$TU=PQ-SV=(8x-6)cm$

$TV=PS-QU=4x-x=3xcm$

Perimeter of TURN $=32cm$

$\Rightarrow 2(8x-6+3x)=32\Rightarrow 11x-16=16$

$\Rightarrow x=\frac{16+6}{11}=\frac{22}{11}=2cm$