Area - math word problems - page 38 of 158

Number of problems found: 3159

Trapezoid triangle area
In the triangle, ABC, X, and Y are the centers of the sides BC and CA, respectively. The ABXY trapezoid has an area of 12. Calculate the area of triangle ABC.
Garden fence wire
We needed 82 m of wire mesh to fence the rectangular garden. The width of the garden is 16m. What is its area?
Rectangle perimeter side
The rectangle has an area of 126 cm². The size of one side of the rectangle is 12 cm. Calculate the perimeter of the rectangle in cm.
Similar triangle area
The ABC triangle has a circumference of 11 cm. Triangle A'B'C ', similar to triangle ABC, has side lengths of 6 cm, 120 mm, and 1.5 dm larger than triangle ABC. Calculate the area of the triangle A'B'C '.
Cube edges length
If we reduce the length of the cube edge by 30%, this reduced cube has an area of 1176 cm². Specify the edge length and volume of the original cube.
Cube edge reduction
If we reduce the length of the cube edge by 30%, this cube has a reduced surface area of 1176 cm². Find the edge length and volume of the original cube.
Right-angled trapezoid
A right-angled trapezoid with the measure of the acute angle of 50° is given. The lengths of its bases are 4 and 6 units. The volume of the solid obtained by rotation of the given trapezoid about the longer base is:
Diamond diagonal area
The KLMN diamond has a circumference of 32 cm, and the intersection of its diagonals is 3 cm away from the LM side. What is the area of the diamond?
Glass cylinder height
A glass in the shape of a cylinder with a base diameter of 6 cm can hold 4dl of water. Calculate the height of the glass and its surface.
Field sowing days
Farmers had to sow 200 hectares of fields. They reduced the planned sowing time by two days while planting 5 hectares more each day than intended. How many days did the sowing last?
The sides 6
The sides of the rectangle are 12cm and 15cm. How many percent will the area of the rectangle increase if we increase each side by 10%?
Children's room
The children's room is a square with a side of 3m. What is the area of the room layout on a 1:50 scale plan?
Square triangle area
The area of the ABCD square in the picture is 36 cm². Points E and F are the centers of the square BC and CD sides. What is the area of the triangle AEF in cm²?
Increased sides
If side b of the rectangle increases by 1 cm and the other side decreases by 4 cm at the same time, the area of the rectangle decreases by 48 cm². If side b increases by 2 cm and side a decreases by 1 cm at the same time, the area of the rectangle increas
Block edge sum
The block has a square base of 36 dm², and its height is 1/3 of the length of the base edge. Find the sum of the lengths of all edges of a block.
Fountain sidewalk area
A 2m wide sidewalk is built around the circular fountain. The radii of the circles that delimit the path on both sides are 4:3. What area in square meters does this sidewalk occupy?
Garden perimeter area
Calculate the perimeter and the area of a rectangular garden if the diagonal length is 18 m long and one of the sides of the garden is 9m long.
Cross-section of a roof
The owner must cover the carport with a hipped roof with a rectangular cross-section of 8 m x 5 m. All roof surfaces have the same slope of 30°. Determine the price and weight of the roof if 1 m² cost €270 and weighs 43 kg.
Block side lengths
The block volume is 1440 cm³, its surface is 792 cm², and the area of one of its walls is 92 cm². Calculate the lengths of its sides.
Rectangle diagonal ratio
The aspect ratio of the rectangle and its diagonal is 9:12:15. Calculate the area of the rectangle if the length of the diagonal is 105 cm.

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