Q: The area of a rectanglar plot is 12,000 square meters. If Kim walks along the diagonal from one corner to the opposiite corner instead of walking along the edges, she walks 60 meters less. What is the length of the diagonal? Thanks!
A: We need two Equations with two Variables. This is a . . . → Read More: Rectangular plot, find diagonals
Q: The perimeter of a rectangle is 74 inches. If the width is doubled and the length is halved, the new rectangle will have a perimeter is 76 inches. What are the dimensions?
A: You have two unknowns, l=length and w=width, so you need two equations.
Recall that perimeter of a rectangle is P . . . → Read More: Perimeter of a Rectangle, Two Unknowns
Q: Hakim invested $15000. He put part of it in a term deposit that paid 4% per annum, and the remainder in a treasury bill that paid 5% per annum. After one year, the total interest was $690. How much did Hakim invest at each rate?
A: You have two unknowns (the amounts invested . . . → Read More: Investment Word Problem
Q: The manager of a bulk foods establishment sells a trail mix for $10 per pound and premium cashews for $15 per pound. The manager wishes to make a 100-pound trail mix-cashew mixture that will sell for $14 per pound. How many pounds of each should be used?
A: Let x = pounds of . . . → Read More: Trail mix, mixture word problem
Q: At 8:00am Dave leaves his home on his scooter, traveling east at 18 mph. At the same time and 80 mile away, Cathy leaves her home on her bicycle, traveling west toward Dave at 14 mph. At what time will they meet?
A: You know that D=VT, where D=distance, V=velocity (speed) and T . . . → Read More: Scooter and Bicycle, when will they meet?
Q: Three numbers are positive consecutive odd integers. If the larger two numbers have a product of 195, find all three integers.
A: Let x = the first integer Let x + 2 = the second integer (because 3 is 2 more than 1, and 5 is 2 more than 3, and so on…) . . . → Read More: Consecutive Odd Integer Word Problem
Q: The longest side of a triangle is four inches longer than the shortest side. The remaining side is two inches longer than the shortest side. The perimeter of the triangle ( the sum of the lengths of the sides) is 24 inches. what is the length of the longest side?
A: Let x . . . → Read More: Perimeter of Triangle Word Problem
Q: In a triangle the measure of the largest angle is 3 times the measure of the smallest angle. The measure of the remaining angle is twice the measure of the smallest angle. What is the measure of the longest angle?
A: Let x = first angle Let y = second angle Let z . . . → Read More: Angles of Triangles Word Problem
Q: The length of a rectangle is 19 feet longer than the width If the perimeter is 46 feet, what are the dimensions of the rectangle?
A: Let l = length Let w = width Let P = perimeter Two Equations, one for length, one for Perimeter: l = 19+w P = 2w + . . . → Read More: Length and Width of Rectangle, Word Problem
Q: The height of a rectangular mural is twice its width. Its perimeter (the sum of the measures of its sides) is 36 feet. What is the width and the height of the mural?
A: Let h=height Let w=width Let P=Perimeter
Height is twice the width: h = 2w The formula for perimeter . . . → Read More: Rectangular mural, perimeter word problem