Table of Contents

- 1 How many unit squares are in a rectangle?
- 2 How are rectangles related to squares?
- 3 How are rectangular numbers formed?
- 4 How many square units are in an office that is 13 units by 9 units?
- 5 Why is a square a rectangle but a rectangle is not a square?
- 6 Why are all squares rectangles but not all rectangles are squares?
- 7 Is 13 a rectangular number?
- 8 Are all square numbers rectangular?

## How many unit squares are in a rectangle?

That means that the area of the rectangle, or the space that covers the rectangle, is 48 square units. However, counting the squares is not a very efficient way to determine the area. There is a better way. A special type of rectangle, called a square, has four equal sides.

Definition: A square is a quadrilateral with all four angles right angles and all four sides of the same length. So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles.

**How many rectangles can you form from 16 pieces one unit squares?**

3 different rectangles

There are 3 different rectangles that can have an area of 16 square units. Use your factors identified to draw on graph paper the 3 rectangles with the factors as the length of each side.

### How are rectangular numbers formed?

Rectangular numbers are special numbers that can be shown by making the shape of a rectangle using an array. An array is when objects are placed in an arranged order using rows and columns. Both even and odd numbers can be used to make a rectangular number and they can be made with both small and large numbers.

### How many square units are in an office that is 13 units by 9 units?

The formula for the area of a rectangle is as follows: Area = Length x Width. Therefore, the operation to find the area of the office in this problem is as follows: Area = (13 units) x (9 units) = 117 square units.

**How do you find the square units of a rectangle?**

Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width. The formula is: A = L * W where A is the area, L is the length, W is the width, and * means multiply.

#### Why is a square a rectangle but a rectangle is not a square?

A rectangle is a quadrilateral, all of whose angles are equal i.e. right angles. Square, apart from all equal angles, also has all sides equal. A square is always the rectangle, but a rectangle is a square only when it has all sides equal…

#### Why are all squares rectangles but not all rectangles are squares?

Because all squares have four right angles and satisfy the definition for rectangles, they can all also be called rectangles. On the other hand, not all rectangles have four congruent sides, so not all rectangles can also be called squares.

**How do you find the area of a rectangle with 12cm squares?**

Draw the base AB of 4 cm. Construct 90° angles at both points A & B. Take 3 cm radius and draw arcs from both points A and B. Join CD.

## Is 13 a rectangular number?

Prime numbers are non-rectangular numbers. These are numbers that only have factors of 1 and themselves. For example, 13 is prime number because only 1 x 13=13. When represented as dots, you cannot make a rectangle because you only have two dots.

## Are all square numbers rectangular?

All square numbers are rectangular numbers but not all rectangular numbers are square numbers.