Planimetrics - practice problems - page 4 of 184
Number of problems found: 3673
- The playground 2  The dome is built on the playground. The dome covers an area of 1 2/3 square meters, which is 5/840 of the total area of the playground. What is the total area of the playground? The dome is built on the playground. The dome covers an area of 1 2/3 square meters, which is 5/840 of the total area of the playground. What is the total area of the playground?
- The area 3  The area of a rectangle is given by the expression 4x² + 5x -6. What is the length of the rectangle if its width is x+2? The area of a rectangle is given by the expression 4x² + 5x -6. What is the length of the rectangle if its width is x+2?
- A rectangle 13  A rectangle has an area of 15 square inches. What is the unknown side length if one side length is 1 2/3 inches wide? A rectangle has an area of 15 square inches. What is the unknown side length if one side length is 1 2/3 inches wide?
- The triangle 6  The triangle has an area of 7 ⅞ cm² and a base of 5 ¼ cm. What is the length of h? Explain your reasoning. The triangle has an area of 7 ⅞ cm² and a base of 5 ¼ cm. What is the length of h? Explain your reasoning.
- Width and length  For a particular rectangle, twice the width is 1 meter longer than the length. The area of the rectangle is 153 square meters. What is the perimeter of the rectangle? For a particular rectangle, twice the width is 1 meter longer than the length. The area of the rectangle is 153 square meters. What is the perimeter of the rectangle?
- Three angles  The three angles of a triangle are (3x-2)°, (4x+5)°, and (2x-3)°, then find the angles. The three angles of a triangle are (3x-2)°, (4x+5)°, and (2x-3)°, then find the angles.
- A triangle 9  A triangle has an area of 16 1/2 square units. The height is 3 2/3. What is the base? A triangle has an area of 16 1/2 square units. The height is 3 2/3. What is the base?
- Triangle - XYZ  For triangle XYZ, ∠X = (6g + 14)° and the exterior angle to ∠X measures (5g + 45)°. Find the measure of ∠X and its exterior angle. For triangle XYZ, ∠X = (6g + 14)° and the exterior angle to ∠X measures (5g + 45)°. Find the measure of ∠X and its exterior angle.
- Parallel sides  Area of trapezium is 45 sq cm and sum of the length of parallel sides is 15 cm. Find height of the trapezium. Area of trapezium is 45 sq cm and sum of the length of parallel sides is 15 cm. Find height of the trapezium.
- Two angles  If one angle of a parallelogram is 24° less than twice the smallest angle, then find the largest angle of the parallelogram. If one angle of a parallelogram is 24° less than twice the smallest angle, then find the largest angle of the parallelogram.
- A sticky  A sticky note shaped like a rectangle has an area of 72 square centimeters. It has a width of 8 centimeters. How long is the sticky note? A sticky note shaped like a rectangle has an area of 72 square centimeters. It has a width of 8 centimeters. How long is the sticky note?
- Rectangle - general expression  Find the area of a rectangle whose width is x-2 units and length of x+4 units. Find the area of a rectangle whose width is x-2 units and length of x+4 units.
- The 738  The area of a rectangular garden is 2400 sq m. Find the width of the garden if its length is 40m. The area of a rectangular garden is 2400 sq m. Find the width of the garden if its length is 40m.
- Use the formula for area  A parallelogram has sides of 15 cm and 12 cm. If the distance between 15 cm sides is 6 cm, find the distance between 12 cm sides. A parallelogram has sides of 15 cm and 12 cm. If the distance between 15 cm sides is 6 cm, find the distance between 12 cm sides.
- The perimeter 12  The perimeter of an equilateral triangle is 41.46 inches. If the length of each side is (q - 5.7), what is the value of q? The perimeter of an equilateral triangle is 41.46 inches. If the length of each side is (q - 5.7), what is the value of q?
- The hypotenuse  The hypotenuse of a right-angled triangle is 20 meters. If the difference between the lengths of the other sides is 4 meters, find the other sides. The hypotenuse of a right-angled triangle is 20 meters. If the difference between the lengths of the other sides is 4 meters, find the other sides.
- The length 18  The length of a rectangle is three times its width. Suppose the perimeter is 96 cm. Calculate the width of the rectangle. The length of a rectangle is three times its width. Suppose the perimeter is 96 cm. Calculate the width of the rectangle.
- Suppose 10  Suppose 4+7i is a solution of 5z²+Az+B=0, where A, B∈R. Find A and B. Suppose 4+7i is a solution of 5z²+Az+B=0, where A, B∈R. Find A and B.
- The perimeter 10  The perimeter of a rectangle is 162 inches. The length is 35 inches longer than the width. Find the length and width of the rectangle. The perimeter of a rectangle is 162 inches. The length is 35 inches longer than the width. Find the length and width of the rectangle.
- Length and width  The length of a rectangle is 7 cm more than the width. Find the width and length if the perimeter of the rectangle is 78 cm. The length of a rectangle is 7 cm more than the width. Find the width and length if the perimeter of the rectangle is 78 cm.
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