Length + area of a shape - practice problems - page 12 of 30
Number of problems found: 595
- Isosceles trapezoid
Find the area of an isosceles trapezoid; if the bases are 12 cm and 20 cm, the arm's length is 16 cm. - Extending square garden
Mrs. Petrová's garden had a square shape with a side length of 15 m. After its enlargement by 64 m² (square), it had the form of a square again. How many meters has the length of each side of the garden been extended? - Truncated pyramid
The concrete pedestal in a regular quadrilateral truncated pyramid has a height of 12 cm; the pedestal edges have lengths of 2.4 and 1.6 dm. Calculate the surface of the base. - Fabric 29531
To sew a dress, you need 2 meters of fabric 150cm wide. How many meters of cloth do we need for the same dress if the fabric is only 90 cm wide?
- Water level
What is the area of the pool's water level after filling 25 m³ of water level by 10 cm? a) 25 m² b) 250 m² c) 2500 dm² d) 25,000 cm2 - Height
The area of the triangle is 35 cm². The length of the base is 10 cm. Determine the length of the height on the base. - Quadrilateral oblique prism
What is the volume of a quadrilateral oblique prism with base edges of length a = 1m, b = 1.1m, c = 1.2m, d = 0.7m if a side edge of length h = 3.9m has a deviation from the base of 20° 35' and the edges a, b form an angle of 50.5°? - Equation of the circle
Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3], and C[9, 4]. - Quadrilateral 28491
Calculate the weight of a regular quadrilateral pyramid with a base edge of 4 cm in length and a body height of 6 cm if it is made of a material density of 8 g/cm³.
- Four prisms
Question No. 1: The prism has the dimensions a = 2.5 cm, b = 100 mm, c = 12 cm. What is its volume? a) 3000 cm² b) 300 cm² c) 3000 cm³ d) 300 cm³ Question No.2: The prism base is a rhombus with a side length of 30 cm and a height of 27 cm. The height of t - The trench
Calculate how many cubic meters of soil needs to be removed from the excavation in the shape of an isosceles trapezoid. The top width is 3 meters, the lower width is 1.8 m, the excavation depth is 1 m, and the length is 20 m. - Square and circles
The square in the picture has a side length of a = 20 cm. Circular arcs have centers at the vertices of the square. Calculate the areas of the colored unit. Express area using side a. - Tailor's 27111
They bought fabric to sew a skirt in a tailor's salon. If they sewed a length of 50 cm, they would sew 70 of them. How many skirts will they sew if they are 70 cm long? - Quadrilateral prism
Calculate the surface of a quadrilateral prism according to the input: Area of the diamond base S1 = 2.8 m2, length of the base edge a = 14 dm, the prism height 1,500 mm.
- Rectangular 26641
The area of the work surface of the rectangular table is 70 dm2, and its perimeter is 34 dm. Determine (in dm) the length of the shorter side of this table. - Calculate 26433
Calculate how much cm² of paper needs to be bought to make a 60 mm cube if you need to add an extra 12% to the folds. - Dimensions 26401
How many square meters of wallpaper will we need to cover the walls of a room with dimensions of 3 m and 4 m if the room height is 2.5 m? A door with dimensions of 90 cm and 2 m leads to the room. There is one window 1 m wide and 1.5 m high. - Determine 26191
The rectangle has side lengths of a = 40 cm and b = 10 cm. We reduce side a's length by 30% and side b by 10%. Determine how many% less the area of the rectangle has decreased. - Length 25661
How many liters of water are in a pool whose width is 12 m, length 25 m, and depth 280 cm if it is filled 10 cm below the edge? What area of the walls wet the water (in m2)?
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