The length of a rectangular room is 5 feet greater than its width. Which of the following equations represents the area (A) of the room?
A. A=w+(w+5)
B. A=2w+2(w+5)
C. A=5(w+8)
D. A=w(w+5)
To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then
Width of the rectangle= w
Length of rectangle=(w+5)
Area of the rectangle, A= Length*width=(w+5)*w
A=w(w+5)
Thus, the area of the rectangular room is w(w+5).
Therefore, the Correct Answer is D.
More Questions on TEAS 7 Math
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Q #1: There are 1200 students enrolled in four allied health programs at a local community college. The percent students in each program are displayed in the pie chart. Which of the following is the number of students enrolled in the radiologic technology program?
A. 216
B. 504
C. 228
D. 252
Answer Explanation
We are asked to find the number of students enrolled in the radiologic program using the information provided on the pie chart.
If we let x represent the number of students enrolled in the radiologic program, we set a proportion equation with number of students on the numerator and percentages on the denominator.
Total percent in the pie chart adds to 100%, which equals 1200 students. Then, 21% will represent
We solve the value of x by cross-multiplying the equation above.
Therefore, 252 students will enroll for a radiologic program.
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Q #2: Five friends are sharing a pizza. Two friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza did each of the other three friends receive?
A. 1/6
B. 1/3
C. 5/6
D. 1/5
Answer Explanation
we need to find the portion of pizza shared by other three friends.
Two friends eat half of the pizza, which is ½
And the remaining amount of pizza,
Now, the other three friends share ½ amongst themselves equally. Then, each friend gets
The other three friends each gets 1/6 of the pizza.
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Q #3: A child has a bottle full of pennies, nickels, dimes, and quarters. There are twice as many quarters as pennies, three times as many as nickels as pennies, and six times as many dimes as nickels. How many more dimes does the child have than quarters?
A. 10 times as many
B. 5 times as many
C. 6 times as many
D. 9 times as many
Answer Explanation
In this task, we use the relation from the given scenario to compare the number of dimes to quarters.
If we let p be number of pennies in the bottle. Then,
Number of quarters in the bottle = 2p
Number of nickels in the bottle = 3p
Number of dimes in the bottle =6(3p)=18p
Now relating dimes to quarters, we have
Thus, there are 9 times as many dimes as quarters in the box.
