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10 Questions

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Area of a Rectangle

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Questions and Answers

What is the formula for finding the diagonal of a rectangle?

$\sqrt{length^2 + width^2}$ (correct)

$\dfrac{width}{length}$

$\sqrt{length \times width}$

$\dfrac{length}{width}$

If the width of a rectangle is 8 units and the diagonal is 10 units, what is the length?

6 units

11 units

12 units

7 units (correct)

In designing a building, why might it be important to know how to find the area of a rectangle?

To calculate the amount of paint needed for the exterior walls

To estimate the number of tiles required for flooring (correct)

To plan the layout of furniture in each room

To determine the size of windows needed

What is used to find either the width or length of a rectangle when the diagonal is given?

$\sqrt{diagonal^2 - width^2}$ Signup and view all the answers

When converting the area of a path from meters to centimeters, what conversion factor is typically used?

$1000$ Signup and view all the answers

Why might knowing how to find the area of a rectangle be crucial in landscaping projects?

To estimate the amount of grass seed required for a lawn Signup and view all the answers

If the diagonal of a rectangle is $15$ units and its length is $9$ units, what is its width?

$6$ units Signup and view all the answers

What would be the area of a rectangle with a length of $6$ units and a width of $4$ units?

$24$ square units Signup and view all the answers

If each stone slab for a path is $20$ cm long and $30$ cm wide, how many slabs are needed for a path that is $4$ meters long and $2$ meters wide?

$60$ slabs Signup and view all the answers

What happens to the area of a rectangle if both its length and width double?

The area becomes four times. Signup and view all the answers