Monica Capoor Solutions for Chapter: Enrichment Activities (Based on Chapters 1–6), Exercise 1: ENRICHMENT ACTIVITIES (Based on Chapters 1-6)

Out of the pocket money received by Kashi, she bought $3\frac{1}{2} \mathrm{m}$ of cloth at $₹17\frac{1}{2}$ per metre and $5\frac{3}{7} \mathrm{m}$ of ribbon at $₹3\frac{1}{2}$ per metre. She then had a balance of $₹19\frac{3}{4}$. How much money did she receive as pocket money?

Find the perimeter of a rectangle whose area is $12\frac{1}{4} {\mathrm{cm}}^2$ and breadth is $2\frac{1}{3} \mathrm{cm}$.

The area of a parallelogram is $1581\frac{1}{8} {\mathrm{cm}}^2$. If its height is $34\frac{3}{4} \mathrm{cm},$ find its base (corresponding to the given height).

A man invested $₹3500$, a part of it at an annual interest rate of $12\%$ and the rest at $14\%$ If after a year, he received $₹450$ as annual interest, how much did he invest at each rate?

A fruit vendor buys some oranges at the rate of $₹5$ per orange. He also buys an equal number of bananas at the rate of $₹2$ per banana. He makes a profit of $20\%$ on oranges and $15\%$ on bananas. At the end of the day, all the fruits is sold out. His total profit is $₹390$. Find the number of oranges purchased.

$ABCDE$ is a regular pentagon. The bisector of $\angle A$ of the pentagon meets the side $CD$ in $M$. Show that $\angle AMC=90°$.

A playground is in the shape of a convex quadrilateral. Two of its interior angles are right angles. If the remaining two angles are in the ratio $4:5,$ find the measure of all interiors angles.

Construct a parallelogram $ABCD$ in which $AC=7.6 \mathrm{cm}$, $BD=4.8 \mathrm{cm}$ and the angle between the diagonals is $75°$.