S Purkayastha Solutions for Chapter: Perimeter and Area, Exercise 1: Check Point

The length of a rectangular field is $2 \mathrm{m}$ more than its breadth. If the perimeter is $32 \mathrm{m}$, find its area.

A rectangle and a square have the same perimeter of $80 \mathrm{m}$. If the length of the rectangle is $6 \mathrm{m}$ more than the breadth, find the area of the rectangle.

A door frame of dimensions $6 \mathrm{m}\times 2 \mathrm{m}$ is fixed on the wall of dimension $10 \mathrm{m}\times 10 \mathrm{m}$. Find the total labour cost for painting the wall if the labour cost for painting$1 {\mathrm{m}}^2$ of the wall is $₹2.50$.

The area of a rectangular sheet is $500 {\mathrm{cm}}^2$. If the length of the sheet is $25 \mathrm{cm}$, what is its width? Also, find the perimeter of the rectangular sheet.

A wire is in the shape of a square of side $10 \mathrm{cm}$. If the wire is rebent into a rectangle of length $12 \mathrm{cm}$, find its breadth. Which encloses more area, the square or the rectangle?

The areas of a square and a rectangle are equal. If the side of the square is $40 \mathrm{cm}$ and the breadth of the rectangle is $25 \mathrm{cm}$, find the the length of the rectangle. Also, find the perimeter of the rectangle.

A rectangular courtyard $3.78 \mathrm{m}$ long and $5.25 \mathrm{m}$ broad is to be paved exactly with square tiles, all of the same size. Find the length of the largest size of such square tiles and the number of tiles required to pave, the courtyard.

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In exchange of a square shaped field whose length of side is $84 \mathrm{m}$, a man wants to buy a rectangular plot $147 \mathrm{m}$ long, of the same area as that of the square plot. Find the width of the rectangular plot.