Ratio + area of a shape - practice problems - page 5 of 10
Number of problems found: 183
- Diagonal intersect
Isosceles trapezoid ABCD with length bases | AB | = 6 cm, CD | = 4 cm is divided into four triangles by the diagonals intersecting at point S. How much of the area of the trapezoid are ABS and CDS triangles? - Rectangle 12081
On a plan with a scale of 1:8000, the ski slope has 12 cm and 0.5 cm lengths. What is the actual piste area in ares? - Calculate 12061
The area of the two circles is in a 4:9 ratio. The larger circle has a diameter of 18 cm. Calculate the radius of the smaller circle. - Determine: 10182
The lengths of the edges of two cubes are in the ratio 1:2, determine: a) the ratio of the content of the wall of the smaller cube to the content of the wall of the larger cube. b) the ratio of the surface of the smaller cube to the surface of the larger
- Two rectangles 2
A square area of 36 cm² is cut out to make two rectangles - A and B. The area's ratio A to B is 2:1. Find the dimensions of rectangles A and B. - Base of prism
The base of the perpendicular prism is a rectangular triangle whose legs lengths are at a 3:4 ratio. The height of the prism is 2cm smaller than the larger base leg. Determine the volume of the prism if its surface is 468 cm². - Identical 8831
In the triangle ABC, the point P lies closer to point A in the third of the line AB, the point R is closer to the point P in the third of the line P, and the point Q lies on the line BC so that the angles P CB and RQB are identical. Determine the ratio of - 5000 8761
The garden has an area of 5000 m². What is its image area on a 1:1000 scale on the plan? - Ratio of volumes
If the heights of two cylindrical drums are in the ratio 7:8 and their base radii are in the ratio 4:3. What is the ratio of their volumes?
- Ratio of sides
Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in a ratio of 2 to 7. - Circumferential 8399
A circle with a radius r=8 cm is divided by points K and L in a ratio of 5 to 4. Calculate the sizes of the center and circumferential angles, corresponding to both arcs and the area of the larger segment. - Square 8198
In 2 hours, 100m square, what is an area in 3 hours? - Three gardens
Is it possible to divide a plot of land with an area of 927 m² into three gardens in a ratio of 4:2:3 so that their areas are only whole multiples of square meters? - The sides 2
The sides of a trapezoid are in the ratio 2:5:8:5. The trapezoid's area is 245. Find the height and the perimeter of the trapezoid.
- Area of rectangle
How many times will we increase the area of the rectangle if we increase twice the length and at the same time we decrease the width by half? - National park
In the national park, the ratio of the wooded area to grassland is 4:1. The total area is 385 km². What area is wooded? - Rectangular 7801
The length of the sides of the rectangular garden is 4:3. The junction of the centers of adjacent sides is 20 m long. Calculate the area of the garden. - Circle 7794
Draw a circle k, r = 4cm, and divide it into two parts in a ratio of 1: 5. - Rectangular plot
The dimensions of a rectangular plot are (x+1)m and (2x-y)m. If the sum of x and y is 3m and the plot's perimeter is 36m. Find the area of the diagonal of the plot.
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