SSAT Elementary Level Math : Plane Geometry

Study concepts, example questions & explanations for SSAT Elementary Level Math

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Example Questions

Example Question #511 : Rectangles

Find the perimeter of the rectangle.

A rectangle has a length of 12cm and a width of 4cm. What is the perimeter of this rectangle.

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of a rectangle, you must first understand that a rectangle's opposite sides are equal. Therefore if you know the length of one side it is the identical length of the opposite side.

32cm is your answer.

Example Question #512 : Rectangles

Find the perimeter of a rectangle.

A rectangle has a width of 7cm and a length of 10cm. What is the perimeter of the rectangle?

Possible Answers:

Correct answer:

Explanation:

First you need to understand that opposite sides of a rectangle are equal. Then you are able to add the value of each side to itself and then add your sums together to get the perimeter of a rectangle.

Example Question #581 : Geometry

Use the following rectangle to answer the question:

Rectangle1

Find the perimeter.

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of a rectangle, we will use the following formula:

Where a, b, c, and d are the lengths of the sides of the rectangle.

 

Now, let's look at the rectangle.

Rectangle1

We can see the length is 6in.  Because it is a rectangle, the opposite side is also 6in. 

We can also see the width of the rectangle is 3in. Because it is a rectangle, the opposite side is also 3in.

Knowing this, we can substitute into the formula.  We get

Example Question #581 : Plane Geometry

Use the following rectangle to solve the problem:

Rectangle2

Find the perimeter.

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of a rectangle, we will use the following formula:

Where a, b, c, and d are the lengths of the sides of the rectangle.

 

Now, given the rectangle

Rectangle2

we can see the length is 11in.  Because it is a rectangle, the opposite side is also 11in.

The width is 5in.  Because it is a rectangle, the opposite side is also 5in.

So, we can substitute.

Example Question #582 : Geometry

What is the width of the rectangle if the perimeter is  and the length is ?

Possible Answers:

Correct answer:

Explanation:

The formula for perimeter of a rectangle is 

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

Subtract  from both sides

Divide  by both sides

Example Question #81 : Apply Area And Perimeter Formulas For Rectangles: Ccss.Math.Content.4.Md.A.3

What is the length of a room with a perimeter of  and a width of 

Possible Answers:

Correct answer:

Explanation:

We have the perimeter and the width, so we can plug those values into our equation and solve for our unknown. 

Subtract  from both sides

Divide  by both sides

Example Question #5741 : Ssat Elementary Level Quantitative (Math)

Emily is digging a garden in her backyard that is  meters long and  meters wide. What is the perimeter of her garden? 

Possible Answers:

Correct answer:

Explanation:

The formula for perimeter of a rectangle is 

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

Example Question #71 : Quadrilaterals

Angela has a garden that she wants to put a fence around. How much fencing will she need if her garden is  by 

 

Possible Answers:

Correct answer:

Explanation:

The fence is going around the garden, so this is a perimeter problem. 

Example Question #201 : Quadrilaterals

David wants to put a fence around a garden in his backyard. How much fencing will he need if his garden is  by 

Possible Answers:

Correct answer:

Explanation:

The fence is going around the backyard, so this is a perimeter problem. 

Example Question #1 : Triangles

The altitude of a triangle is given as , and its base as . What is the area of the triangle? 

Possible Answers:

Correct answer:

Explanation:

The area of a triangle is given by .

altitude

base  =

Therefore:

Area

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