Area - math word problems - page 143 of 149
Number of problems found: 2969
- Triangle ABC
Calculate the sides of the triangle ABC with an area of 1995 cm², and if sides are in a ratio a: b: c = 3:6:6
- Infinity
A square with a side 19 long is an inscribed circle, and the circle is inscribed next to the square, circle, and so on to infinity. Calculate the sum of the area of all these squares.
- Recursion squares
In the square, ABCD has inscribed a square so that its vertices lie at the centers of the sides of the square ABCD. The procedure of inscribing the square is repeated this way. The side length of the square ABCD is a = 20 cm. Calculate: a) the sum of peri
- Garden
The square garden area is 2/9 of a triangle garden with sides 160 m, 100 m, and 100 m. How many meters of fencing are needed to fence a square garden?
- Cube zoom
If we magnify the cube's edge by 47 %, how many percent does this increase the cube's volume and surface?
- Gutter
How much metal is needed to produce 60 pieces of gutter pipes with the diameter 17 cm and length of 6 m? The plate bends add 6% of the material.
- Sequence
The arithmetic sequence is given: Sn=1656, d=6, an=138 Calculate a1 and n.
- Similarity
The area of the regular 10-gon is 563 cm². The area of similar 10-gon is 606 dm². What is the coefficient of similarity?
- Coins
Edmund had saved a certain number of 2-euro coins. He placed the coins in a single layer in a square. He had 6 coins left. When he wanted to build a square with one more row, he was missing 35 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 319.1 cm² and perimeter 72 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 2080 cm², and its dimensions are in the ratio 4:1:5. Find the volume of this rectangular cuboid.
- Cone
The circular cone of height 15 cm and volume 5699 cm³ is at one-third of the height (measured from the bottom) cut by a plane parallel to the base. Calculate the radius and circumference of the circular cut.
- Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid.
- Windows
Calculate the masonry area to build a wall with dimensions of 18 m × 5 m with 3 windows of size 51 cm × 51 cm.
- Carpet
The room has a rectangular shape with dimensions 5 m × 2.1 m. How many meters of carpet does a width of 2 need to buy to cover the entire room?
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