Planimetrics - math word problems - page 54 of 183
Number of problems found: 3648
- Rectangle - area and width
The length of the rectangle is 1 cm more than its width. Its area is 4 cm². What is its width?
- Fencing
Ruby is purchasing fencing to go around a rectangular lot which is 4x + 9 feet long and 3x - 5 feet wide. Which expression represents the amount of fencing she must buy?
- Angles in a triangle
In a triangle, the first angle measures a number plus 45°, and the second angle is 30° less than the first angle. The third angle is two times the number more than the first angle. What are the measurements of each angle of the triangle?
- A triangle 4
A triangle has a perimeter of 18a + 6b + 15 and has sides of lengths 5a + 7 and 8a +4b. What is the length of the third side? Write an expression and simplify it to find the solution to the problem.
- Main/central vertex
ABC is an isosceles triangle with base BC and central vertex A. The angle at vertex A is 18°. What will be the size of the angle at vertex B?
- Side and diagonal
Find the circumference and the area of the rectangle if given: side a = 8 cm diagonal u = 10 cm.
- Cross five
The figure in the picture is composed of the same squares and has an area of 45cm². What is its perimeter?
- Diamond and diagonals
A diamond has diagonals f = 8 cm and g = 6 cm long. How long is this diamond perimeter? (Calculate it!)
- Triangle 42
Triangle BCA. Angles A=119° B=(3y+14) C=4y. What is the measure of triangle BCA=?
- Circumference - increase
If we increase the length of the side of the square by one-third, the circumference of the square will increase by 18 cm. Calculate the length of the side of the square.
- Interior angles
You know the size of the two interior angles of the triangle alpha = 40° and beta = 60°. Calculate the size of the third interior angle.
- Trapezoid MO-5-Z8
Trapezoid KLMN has bases 12 and 4 cm long. The area of triangle KMN is 9 cm². What is the area of the trapezoid KLMN?
- Isosceles triangle
Calculate the area and perimeter of an isosceles triangle ABC with base AB if a = 6 cm, c = 7 cm.
- Rhombus A2p
The rhombus area is 13 cm², and its height is 5cm long. Find the perimeter of this rhombus.
- Column
The vertical pole high 7 m tall broke, and its toe fell 4.7 m from the bottom of the pole. At what height above the ground does the pole break?
- Quadrant II
Calculate the radius of the quadrant, which area is equal to the area of the circle with radius r = 15 cm.
- Quarter circular
The wire hooked around the perimeter of the quarter-circular arc has a length of 14π+56. Determine the radius of the circle arc.
- Greatest 82502
In triangle ABC, side a = 30 cm b = 7 cm. The length of the third side in cm is a natural number. What is the least and what is the greatest length that side c can have?
- Rectangle's 81776
The length of the rectangle is 5 cm greater than its width. Determine the rectangle's dimensions if you know that its perimeter is 22 cm.
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