Triangles
One angle of a triangle is 13. Another angle is five less than the square of 13. What are the three angles?
A garden has a shape of a right triangle. The hypotenuse leg of the triangle is 13 cm. The longer leg is 7 cm longer than the shorter leg. Find the perimeter of the triangle.
The perimeter is 30
the area of a square is 32. The area of another square is twice that. what are the dimensions of the bigger square?
8
The length of a rectangle is two feet less than 3 times the width. If the area is 65ft^2, find the dimensions
The length is 13
The width is 5
The product of two consecutive odd whole numbers is one less than five times their sum. Find the numbers.
9, 11
The longer leg of a right triangle is one unit shorter than twice the length of the shorter leg. The hypotenuse is one unit longer than twice the length of the shorter leg. Find the lengths of the three sides of the triangle.
The shorter leg is 8
The longer leg is 15
The hypotenuse leg is 17
An apple orchard contains 84 trees. The number of trees per row is 5 more than the number of rows. Find the number of rows.
The orchard has 7 rows.
The area of a square is 4 times greater than the area of another. What is the perimeter of the larger square?
32
The length of a rectangle is 6 cm less than twice its width. Find the dimensions of this rectangle if its area is 108 cm^2
The length of the rectangle is 12 cm, as the width is 9 cm
Forty-nine less than the square of a number equals zero. Find the number.
The number could be 7 or -7.
The height of a triangle is 2 mm less than the base. If the area is 60 mm2, find the height and base of the triangle.
The base is 12 mm and the height is 10 mm
A man is 21 years older than his son. 5 years ago he has 4 times the age of his son. What are the ages now?
The son is 12 years old
The man is 33 years old
Suppose that a square and a rectangle have equal areas. Furthermore, suppose that the length of the rectangle is twice the length of a side of the square, and the width of the rectangle is 4 centimeters less than the length of a side of the square. Find the dimensions of both figures.
The side of the square is 8 cm, and the dimensions of the rectangle are 16 x 4 cm.
Suppose that the width of a certain rectangle is three-fourths of its length. The area of this rectangle is 108 square meters. Find the length and width of the rectangle.
The dimensions of the rectangle are 9 x 12 cm.
The product of two consecutive integers is 19 more than their sum. Find the integers.
The integers are -4 and -3
The height of a triangle is 4 inches more than twice the length of the base. The area of the triangle is 35in^2. Find the height of the triangle.
Area formula = 1/2BH
The height is 14
An association has a fund of $195. In addition, each member of the association contributes to the number of dollars equal to the number of members. The total money is divided equally among the members. If each of the members gets $ 28, find the number of members in the association.
There are 15 or 13 members in the association.
The sum of the areas of a square and a rectangle is 64 square centimeters. The length of the rectangle is 4 centimeters more than a side of the square, and the width of the rectangle is 2 centimeters more than a side of the square. Find the dimensions of the rectangle and the square.
The side of the square is 4 cm and the dimensions of the rectangle are 8 x 6 cm.
The area of a rectangle is 560 square inches. The length is three more than twice the width. Find the length and width.
The width is 16
The length is 35
One number is one less than three times another number. If the product of the two numbers is 102, find the numbers.
The pair of numbers are 17 & 6.
The hypotenuse leg of a triangle is 13 cm. The longer leg is 7 cm longer than the shorter leg. Find the perimeter of the triangle.
The perimeter is 30
a flower garden is in the shape of a right triangle with one leg 7 meters longer then the other leg and the hypotenuse 1 meter longer than the longer leg. Find the lengths of all three sides of the right triangle. Find the perimeter
perimeter is 30
If the radius of a circle is decreased by 6, the old area is 9 times the new area. What was the original radius?
The formula for the area of circle = PI X r^2
Use 3.14 as PI
9
A rectangular swimming pool is twice as long as it is wide. A small concrete walkway surrounds the pool. The walkway is a constant 2 feet wide and has an area of 196 square feet. Find the dimensions of the pool.
The dimensions of the pool are 15 ft by 30 ft.
One number is the square of another. The sum is 132. What are the numbers?
11, 132