All SAT Math Resources
Example Questions
Example Question #2 : How To Find The Area Of A Rectangle
A rectangle has a width of 2x. If the length is five more than 150% of the width, what is the area of the rectangle?
5x + 5
6x2 + 10x
5x + 10
10(x + 1)
6x2 + 5
6x2 + 10x
Given that w = 2x and l = 1.5w + 5, a substitution will show that l = 1.5(2x) + 5 = 3x + 5.
A = lw = (3x + 5)(2x) = 6x2 + 10x
Example Question #1 : How To Find The Area Of A Rectangle
Rectangle ABCD is shown in the figure above. Points A and B lie on the graph of y = 64 – x2 , and points C and D lie on the graph of y = x2 – 36. Segments AD and BC are both parallel to the y-axis. The x-coordinates of points A and B are equal to –k and k, respectively. If the value of k changes from 2 to 4, by how much will the area of rectangle ABCD increase?
88
272
176
544
352
176
Example Question #2 : How To Find The Area Of A Rectangle
George wants to paint the walls in his room blue. The ceilings are 10 ft tall and a carpet 12 ft by 15 ft covers the floor. One gallon of paint covers 400 and costs $40. One quart of paint covers 100 and costs $15. How much money will he spend on the blue paint?
The area of the walls is given by
One gallon of paint covers 400 and the remaining 140 would be covered by two quarts.
So one gallon and two quarts of paint would cost
Example Question #562 : High School Math
Daisy gets new carpet for her rectangluar room. Her floor is . The carpet sells for $5 per square yard. How much did she spend on her carpet?
Since the room measurements are 7 yards by 8 yards. The area of the floor is thus 56 square yards. It would cost .
Example Question #3 : How To Find The Area Of A Rectangle
The length of a rectangular rug is five more than twice its width. The perimeter of the rug is 40 ft. What is the area of the rug?
For a rectangle, and where is the width and is the length.
Let and .
So the equation to solve becomes or .
Thus and , so the area is .
Example Question #47 : Quadrilaterals
The front façade of a building is 100 feet tall and 40 feet wide. There are eight floors in the building, and each floor has four glass windows that are 8 feet wide and 6 feet tall along the front façade. What is the total area of the glass in the façade?
1536 ft2
192 ft2
1536 ft2
768 ft2
2464 ft2
1536 ft2
Glass Area per Window = 8 ft x 6 ft = 48 ft2
Total Number of Windows = Windows per Floor * Number of Floors = 4 * 8 = 32 windows
Total Area of Glass = Area per Window * Total Number of Windows = 48 * 32 = 1536 ft2
Example Question #41 : Rectangles
Two circles of a radius of each sit inside a square with a side length of . If the circles do not overlap, what is the area outside of the circles, but within the square?
The area of a square =
The area of a circle is
Area = Area of Square 2(Area of Circle) =
Example Question #11 : Rectangles
The width of a rectangle is . The length of the rectangle is . What must be the area?
The area of a rectangle is:
Substitute the variables into the formula.
Example Question #12 : Quadrilaterals
Find the area of a rectangle with side length 7 and 9.
To solve, simply use the formula for the area of a rectangle.
Substitute in the side length of 7 and width of 9.
Thus,
Example Question #13 : Quadrilaterals
Find the area of a rectanlge given width is 2 and length is 3.
To solve, simply use the formula for the area of a rectangle. Thus,