(D) The side of the square is $\sqrt{1024\, cm^2} = 32\, cm$.The length of the rectangle is $2 \times 32\, cm = 64\, cm$.The breadth of the rectangle

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(D) The side of the square is $\sqrt{1024\, cm^2} = 32\, cm$.The length of the rectangle is $2 \times 32\, cm = 64\, cm$.The breadth of the rectangle is $32\, cm - 12\, cm = 20\, cm$.The required ratio of length to breadth is $64 : 20$.Dividing both terms by $4$,we get $16 : 5$.

Competitive Quantitative Aptitude Mensuration Measurement of Area

Medium

The area of a square is $1024\, cm^2$. What is the ratio of the length to the breadth of a rectangle whose length is twice the side of the square and breadth is $12\, cm$ less than the side of this square?

A
$5:18$
B
$16:7$
C
$14:5$
D
$16:5$

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Mensuration

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Measurement of Area

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$D$ and $E$ are points on sides $AB$ and $AC$ of $\Delta ABC$. $DE$ is parallel to $BC$. If $AD:DB = 2:3$,what is the ratio of the area of $\Delta ADE$ to the area of quadrilateral $BDEC$?

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The hypotenuse and the semi-perimeter of a right triangle are $20\, cm$ and $24\, cm$,respectively. The other two sides of the triangle are

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$A$ $2 \text{ m}$ broad pathway is to be constructed around a rectangular plot on the inside. The area of the plot is $96 \text{ m}^2$. The rate of construction is $₹ 50 / \text{ m}^2$. Find the total cost of construction (in $₹$).

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The area of a square is $1024\, cm^2$. What is the ratio of the length to the breadth of a rectangle whose length is twice the side of the square and breadth is $12\, cm$ less than the side of this square?

Similar Questions

Water flows out at the rate of $10 \, m/min$ from a cylindrical pipe of diameter $5 \, mm$. Find the time taken to fill a conical tank whose diameter at the surface is $40 \, cm$ and depth is $24 \, cm$ (in $min$)?

$D$ and $E$ are points on sides $AB$ and $AC$ of $\Delta ABC$. $DE$ is parallel to $BC$. If $AD:DB = 2:3$,what is the ratio of the area of $\Delta ADE$ to the area of quadrilateral $BDEC$?

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$A$ $2 \text{ m}$ broad pathway is to be constructed around a rectangular plot on the inside. The area of the plot is $96 \text{ m}^2$. The rate of construction is $₹ 50 / \text{ m}^2$. Find the total cost of construction (in $₹$).

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