ACT Math : Rectangles
Study concepts, example questions & explanations for ACT Math
All ACT Math Resources
Example Questions
Example Question #11 : How To Find The Area Of A Rectangle
What is the area in 
Because of complexities that arise with square units, it is best to start a problem like this by changing all of your units into inches from the very beginning. Thus, you know that the yard is 
Thus, the area of the yard is 
Example Question #11 : Rectangles
Find the area of a rectangle whose length is 
To find area, simply multiply length times width. Thus,
Example Question #12 : Rectangles
Find the area of a rectangle whose width is 
To solve, simply multiply width and length. Thus,
Example Question #13 : Rectangles
Find the area of rectangle given width of 5 and length of 8.
To solve, simply use the formula for the area of a rectangle. Thus,
Example Question #73 : Quadrilaterals
Erin is getting ready to plant her tulip garden. She wants to plant two tulips per square foot of garden. If her rectangular garden is enclosed by 24 feet of fencing, and the length of the fence is twice as long as its width, how many tulips will Erin plant?
16
64
48
32
24
64
We know that the following represents the formula for the perimeter of a rectangle:
In this particular case, we are told that the length of the fence is twice as long as the width. We can write this as the following expression:
Use this information to substitute in a variable for the length that matches the variable for width in our perimeter equation.
We also know that the length is two times the width; therefore, we can write the following:
The area of a rectangle is found by using this formula:
The area of the garden is 32 square feet. Erin will plant two tulips per square foot; thus, she will plant 64 tulips.
Example Question #1 : How To Find The Length Of The Diagonal Of A Rectangle
A rectangle has a height of 
1. Use Pythagorean Theorem with 
2. Solve for 
This rounds down to 
Example Question #4 : How To Find The Length Of The Diagonal Of A Rectangle
The sides of rectangle ABCD are 4 in and 13 in.
How long is the diagonal of rectangle ABCD?
A diagonal of a rectangle cuts the rectangle into 2 right triangles with sides equal to the sides of the rectangle and with a hypotenuse that is the diagonal. All you need to do is use the pythagorean theorem:
Example Question #123 : Quadrilaterals
A power company needs to run a piece of wire across a rectangular plot of land and must do so diagonally. The land is 
Notice that this problem could be represented as follows:
This means that you can find the distance of the wire merely by using the Pythagorean theorem:
Solving for 
Thus,
Using your calculator, multiply this by 
Example Question #123 : Quadrilaterals
What is the diagonal of a rectangle with sides of length 
You could draw this rectangle as follows:
Solving for the diagonal merely requires using the Pythagorean theorem. Thus, you know:
This is approximately 
Example Question #1 : How To Find The Length Of The Diagonal Of A Rectangle
What is the area of a rectangle with a diagonal of 
Based on the description offered in the question, you know that your rectangle must look something like this:
Using the Pythagorean theorem, you can solve for the unknown side 
Thus, 
Certified Tutor
All ACT Math Resources
