Rectangle

A rectangle of length $x$ and breadth $y$ is replaced by an another rectangle having length half of it's previous and breadth is twice of previous and diagonal of both the rectangle is same i.e $16 \mathrm{cm}$, then which of the following is true.

If the area of rectangle having length $2x$ and breadth is $2x$ times the length is $64 {\mathrm{cm}}^2$. Find the diagonal of this rectangle.

A rectangle having length $16 \mathrm{cm}$ and breadth $14 \mathrm{cm}$, cut at each corner of length $2 \mathrm{cm}$ and breadth $2 \mathrm{cm}$. What is the ratio of diagonal of rectangle to the volume of new shape ?

What is the longest rod that can be placed in a room which is $7$ metre long, $9$ metre broad and $\sqrt{29}$ metre high?

Harshit has finished fencing two-thirds of a $160 \mathrm{m}$ wide rectangular garden. When he fenced another $60 \mathrm{m}$ of the garden, three-fourths of the fencing was finished. What is the length of the rectangular garden?

A person has a rectangular sheet having shorter side of $8cm$. He folded it from the midpoint of the longest side and get a new rectangle having ratio of longer to shorter side equal to the ratio of longer to shorter side in the original rectangle sheet. Then find the diagonal of the new rectangle formed.

Breadth of a hall’s floor is $40$ m less than its length. When the length is decreased by $20$ m and the breadth is increased by $10$m, the area remains same. The area of the floor is:

The length of a rectangle is how much percent more than its breadth, if the area of the rectangular plot is $480 \mathrm{sq}. \mathrm{m}$, and if each side had been $5 \mathrm{m}$ longer, the area would have been increased by $245 \mathrm{sq}. \mathrm{m}$?

The length and breadth of the floor of a room are $30$ feet and $15$ feet respectively. Square tiles of $3$ feet length of $3$ different colors are to be laid to the floor. Pink tiles are laid in the first row on all sides. If white tiles are laid in the $\frac{1}{6}$th of the remaining and black tiles in the rest, how many black tiles will be there?

The diameter of the coin is $1.4 \mathrm{cm}$. If four of these coins, be placed on the table so that the rim of each touches that of the other two. Find the area of the unoccupied space between them.

The perimeter of a square is $100\%$ more than the perimeter of a rectangle if the length of the rectangle is $12$ $\mathrm{cm}$ and the area of the rectangle is $96 {\mathrm{cm}}^2$. Find the area of the square?

Circular ground’s radius and square ground’s side is equal and the difference between their perimeters is $64$ m then the perimeter of the square ground is:

The perimeter of a square is two times of the perimeter of a rectangle. If the perimeter of the square is $112 \mathrm{cm}$ and the length of the rectangle is $18 \mathrm{cm}$, what is the difference between the area of the rectangle and that of the square?

The circumference of a circle is equal to the perimeter of the rectangle. The length of the rectangle is $30 \mathrm{cm}$ and its breadth is $25 \mathrm{cm}$. What will be the diameter of a circle?

The perimeter of a square is thrice the perimeter of a rectangle. If the perimeter of a square is $180 \mathrm{cm}$ and the length of the rectangle is $20 \mathrm{cm}$. Find the area of the rectangle?

Find the cost of painting the walls of room $8 \mathrm{m}.$ long, $6 \mathrm{m}.$ wide and  $5 \mathrm{m}.$ high at $₹13.5$ per square meter.

The perimeter of a square plot is equal to the perimeter of a rectangular plot which is 23 metre long and 19 metre broad. What will be the diagonal of the square plot?

The ratio of length and breadth of a rectangular plot $71 : 61$ Respectively. The area of the plot is $17324 {\mathrm{m}}^2$. What is the perimeter of the plat ?