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?

<p>$\sqrt{diagonal^2 - width^2}$ (C)</p> Signup and view all the answers

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

<p>$1000$ (D)</p> Signup and view all the answers

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

<p>To estimate the amount of grass seed required for a lawn (A)</p> 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?

<p>$6$ units (D)</p> 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?

<p>$24$ square units (C)</p> 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?

<p>$60$ slabs (D)</p> Signup and view all the answers

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

<p>The area becomes four times. (A)</p> Signup and view all the answers

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