Question

If the adjacent sides of a parallelogram is in the ratio is 2:3 and the perimeter is 50 units, find the sides of the parallelogram

• A. If a quadrilateral is a parallelogram, then each pair of opposite angles is equal
• B. If a quadrilateral is a parallelogram, then its diagonal divides it into two congruent triangles
• C. If a quadrilateral is a parallelogram, then its diagonals bisect each other
• D. If a quadrilateral is a parallelogram, then each pair of opposite sides is equal

Answer 1

In a parallelogram opposite sides are equal

Let the adjacent sides be 2$x$ and 3$x$

Perimeter = 50 units

$\Rightarrow 2(2x+3x)=50$

$\Rightarrow (2x+3x)=25$

$\Rightarrow \left(5x\right)=25$

$\Rightarrow \left(x\right)=5$

Hence the sides of the parallelogram are 2(5) = 10 units and 3(5) = 15 units