Geometry: Area of a Rectangle

Questions and Answers

Width = Diagonal / √2

Width = Diagonal - Length

Width = Diagonal × √2

Width = √(Diagonal^2 - Length^2) (correct)

To find the perimeter of the rectangle

To find the width of the rectangle

To find the area of the rectangle (correct)

To find the diagonal of the rectangle

800 cm squared

1000 cm squared

400 cm squared

600 cm squared (correct)

For both designing a building and landscaping Signup and view all the answers

Meters squared Signup and view all the answers

Divide the area of the path by the area of a slab Signup and view all the answers

20 slabs will be required Signup and view all the answers

To find the area of the rectangle Signup and view all the answers

All of the above Signup and view all the answers

Find the area of the pathway Signup and view all the answers

Study Notes

Area is the measurement of a two-dimensional boundary, such as a piece of land or a drawing of an enclosed shape.
It is measured in square units only, such as square centimeters.

A rectangle is a four-sided, two-dimensional shape with opposite sides equal.
The corners of a rectangle are equal and 90 degrees.
A rectangle is a quadrilateral and a parallelogram.
Diagonal lines spanning opposite corners of a rectangle bisect each other, and the length of both diagonals are the same.

The area of a rectangle is calculated using the length and width of the rectangle.
The formula is: Area = Length × Width
The length is the longest dimensional region, and the width is the smallest dimensional region.

The area can be found by counting the number of squares in the rectangle.
If the perimeter and length or width are given, the area can be calculated using the formulas.
If the diagonal and length or width are given, the area can be calculated using the formulas.

If the perimeter and width are given, the length can be calculated using the formula: Length = (Perimeter - 2 × Width) / 2
If the perimeter and length are given, the width can be calculated using the formula: Width = (Perimeter - 2 × Length) / 2

The diagonal of a rectangle divides it into two equivalent right-angled triangles.
The formula for the diagonal is: Diagonal = √(Length² + Width²)
If the diagonal and width are given, the length can be calculated using the formula: Length = √(Diagonal² - Width²)
If the diagonal and length are given, the width can be calculated using the formula: Width = √(Diagonal² - Length²)

Formulas for finding the area of a rectangle can be used in designing a building, carpeting a room, or landscaping.
Example: calculating the number of stone slabs required to lay a path of a certain length and width.