A rectangle has a perimeter of 36 inches. Its length is 3 inches greater than twice the width. What’s the rectangle’s length?
Answer(s): B
A rectangle’s perimeter is determined by the formula P = 2(l + w). The length of this rectangle is 3 + 2w. Substituting the known values into the formula results in 36 = 2(w + 3 + 2w).36 = 2(3w + 3)18 = 3w + 315 = 3ww = 5As the length is 3 + 2w, then l = 3 + 2(5), or l = 13.
A back yard is 50 feet by 100 feet. What’s its area?
Answer(s): D
The area of a rectangle is the length × the width of the rectangle. 50 × 100 = 5,000.
Eric is driving a car in which the speedometer is calibrated in kilometers per hour (kph). He notes that his car is traveling at a rate of 75 kph, when he passes a speed limit sign stating the limit is 40 miles per hour (mph). He knows that a kilometer is about 5⁄8 of a mile.If a police officer stops him at this point, how many mph over the limit will the ticket read?
A kilometer is 5⁄8 of a mile, so multiply 75 × 5⁄8, or 75⁄1 × 5⁄8 = 375⁄8. Divide 8 into 375 to reduce the fraction and determine that Eric was traveling at 47 miles per hour, 7 mph over the 40 mph posted limit.
Three apples and twice as many pears add up to one-half the number of grapes in a fruit basket. How many grapes are in the basket?
Let x = the number of grapes. 3 apples and 6 pears equals 1⁄2 of x or 1⁄2(x) = 9. x = 2(9) or x = 18.
Apples are on sale for “Buy 2 get 1 free.”How many pounds must Janet purchase to get 2 pounds free?
If Janet must purchase 2 pounds of apples to get 1 free pound, to get 2 free pounds, she would need to purchase twice as many apples or 4 pounds of apples.
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