Plane Geometry

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SSAT Elementary Level Quantitative › Plane Geometry

Questions 1 - 10
1

What is the perimeter of a square that has a side measuring 1 inch in length?

Explanation

Perimeter is the sum of all the sides. For a square,

Therefore, for this square,

2

What is the area of the rectangle?

11x2

Explanation

We can find the area by counting the squares within the rectangle. There are squares.

We can also multiply the length and the width to find the area.

*Area is the number of square units inside a shape, which is why area is always written with square units.

3

What is the area of the rectangle?

11x2

Explanation

We can find the area by counting the squares within the rectangle. There are squares.

We can also multiply the length and the width to find the area.

*Area is the number of square units inside a shape, which is why area is always written with square units.

4

Annie has a piece of wallpaper that is by . How much of a wall can be covered by this piece of wallpaper?

Explanation

This problem asks us to calculate the amount of space that the wallpaper will cover. The amount of space that something covers can be described as its area. In this case area is calculated by using the formula

5

The rectangle is made up of by squares. Use this information to help you solve the problem.

Screen shot 2015 09 29 at 10.44.22 am

If each of the small boxes in the figure below measures 1 in by 1 in, what is the area of the entire shape?

Screen shot 2015 09 29 at 10.43.53 am

Explanation

We can count the number of squares within the shape to find the area.

There are squares within the shape, which means the area is

*Area is the number of square units inside a shape, which is why area is always written with square units.

6

What is the perimeter of a square that has a side measuring 1 inch in length?

Explanation

Perimeter is the sum of all the sides. For a square,

Therefore, for this square,

7

What is the perimeter of the rectangle below?

Screen shot 2015 09 29 at 8.31.53 am

Explanation

The formula for perimeter of a rectangle is

To solve for the perimeter we can plug our known values into the equation.

8

What is the area of the rectangle?

11x3

Explanation

We can find the area by counting the squares within the rectangle. There are squares.

We can also multiply the length and the width to find the area.

*Area is the number of square units inside a shape, which is why area is always written with square units.

9

What is the area of the rectangle?

Screen shot 2015 11 09 at 3.55.07 pm

Explanation

We can find the area by counting the squares within the rectangle. There are squares.

We can also multiply the length and the width to find the area.

*Area is the number of square units inside a shape, which is why area is always written with square units.

10

The rectangle is made up of by squares. Use this information to help you solve the problem.

Screen shot 2015 09 29 at 10.44.22 am

If each of the small boxes in the figure below measures 1 in by 1 in, what is the area of the entire shape?

Screen shot 2015 09 29 at 10.43.53 am

Explanation

We can count the number of squares within the shape to find the area.

There are squares within the shape, which means the area is

*Area is the number of square units inside a shape, which is why area is always written with square units.

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