Area - math word problems - page 155 of 161
Number of problems found: 3206
- Sequence
The arithmetic sequence is given: Sn=1656, d=6, an=138 Calculate a1 and n. - Similarity
The area of the regular 5-gon is 495 cm². The area of similar 5-gon is 606 dm². What is the coefficient of similarity? - Coins
Edmund had saved a certain number of 0.5-euro coins. He placed the coins in a single layer in a square. He had 4 coins left. When he wanted to build a square with one more row, he was missing 23 coins. How many euros does he have? - Cylinders
The area of the side of two cylinders is the same rectangle of 48 cm × 38 cm. Which cylinder has a larger volume, and by how much? - Scale
The swimming pool is long 50 m and 30 m wide. The city's plan is shown as a rectangle with an area 2.4 cm². What scale is the city plan? - Angles
Find the interior angles of a rhombus with area 72 cm² and perimeter 48 cm. - Two squares
Two squares with sides in the ratio 3:7 have a sum of their perimeters 58 cm. Calculate the sum of the area of these two squares. - Regular 5-gon
Calculate the area of the regular pentagon with side 16 cm. - Rectangular cuboid
The rectangular cuboid has a surface area 4131 cm², and its dimensions are in the ratio 2:4:5. Find the volume of this rectangular cuboid. - Cone
A circular cone of height 14 cm and volume 4396 cm³ is cut at one third of its height (measured from the base) by a plane parallel to the base. Calculate the radius and circumference of the circular cross-section. - Trapezoid MO
Right-angled trapezoid ABCD has a right angle at vertex B. Given that |AC| = 12, |CD| = 8, and the diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - Windows
Calculate the area of masonry needed to build a wall measuring 18 m × 5 m that has 3 windows each measuring 51 cm × 51 cm. - Carpet
A room has a rectangular floor measuring 5 m × 2.1 m. How many metres of carpet, with a width of 2 m, must be bought to cover the entire floor? - Rectangle vs square
A rectangle has dimensions 15 × 10, and a square has dimensions 13 × 13. Which shape has a greater area, and by how much? - Area 4gon
Calculate the area of a parallelogram with two pairs of equal parallel sides of lengths 18 and 9, and interior angles of 45°, 135°,45°, 135°. - Rhomboid
Calculate the perimeter and area of a parallelogram with sides 19 and 20 and an included angle of 40°. - Right Δ
A right triangle has one leg 54 cm long and a hypotenuse 90 cm long. Calculate the altitude from the right angle to the hypotenuse. - Area of RT
Calculate the area of a right triangle in which the hypotenuse has length 14 and one of the segments that the altitude creates on the hypotenuse has length 5. - Described
Calculate the circumference of the circle circumscribed about a triangle with sides 82, 495, and 438. - Radius
Determine the radius of a circle whose circumference and area are numerically equal.
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