Kesab Chandra Nag Solutions for Exercise 1: EXERCISE-6

Construct a square of area equal to the area of a rectangle, the length and breadth of the rectangle is$8 \mathrm{cm} \mathrm{and} 6 \mathrm{cm}$ respectively.

Construct a square of area equal to the area of the given quadrilateral.

In the quadrilateral $\mathrm{ABCD}$, $\mathrm{AB}=5 \mathrm{cm}, \mathrm{BC}=6 \mathrm{cm}, \mathrm{CD}=4 \mathrm{cm} \mathrm{and} \mathrm{AD}=5 \mathrm{cm}$ and diagonal $\mathrm{BD}=10 \mathrm{cm}$. Construct the quadrilateral. Then also construct a triangle of area equal to the area of it.

In the quadrilateral $\mathrm{ABCD}$, $\mathrm{AB}=5 \mathrm{cm}, \mathrm{CD}=6 \mathrm{cm}$ and diagonal $\mathrm{BD}=7 \mathrm{cm}, \angle \mathrm{ABD}=45°, \angle \mathrm{BDC}=60°$. Construct the quadrilateral. Then also construct a triangle of area equal to the area of quadrilateral.

Construct a square of sides $4 \mathrm{cm}$. Then construct a triangle of area equal to the area of this square and one of whose angles is $60°$.

Construct a rhombus each side of which is $4 \mathrm{cm}$ and one of whose angles is $60°$. Then construct a triangle of area equal to the area of this rhombus and one of the angles is $45°$.

$\mathrm{ABCDE}$ is a pentagon. Construct a triangle of area equal to the area of $\mathrm{ABCDE}$ and one of whose angles is $60°$.

$\mathrm{ABCDE}$ is a pentagon. Construct a parallelogram of area equal to the area of $\mathrm{ABCDE}$ and one of whose angles is $60°$.