Ratio + square (second power, quadratic) - practice problems - page 2 of 8
Number of problems found: 142
- Rectangular 80776
The perimeter of the rectangular garden is 42 meters. Its sides are in the ratio 3:4. Calculate the length of the sidewalk that is the diagonal of the garden. - Right-angled 80745
The area of a right-angled triangle KLM with a right angle at the vertex L is 60 mm square, and its hypotenuse k is 10 mm long. Triangles KLM and RST are similar. The similarity ratio is k=2.5. Calculate the area of triangle RST. - Original 80393
Resize the square to 10:3. The original size is 3 cm. - Hypotenuse 79904
I have a right triangle, the length of the hypotenuse is c 20, and I only know the side ratio a:b = 2:1. I can't figure out the actual length of the hangers = I'm already an old man, and my brain doesn't work at 100% like it did years ago at school - I co
- Dimensions 79294
The swimming pool dimensions are as follows: l:w:h = 10:4:1. The pool can hold 625 m³ of water. Calculate how many square meters of tiles need to be purchased for lining the pool walls if we add 5% for waste. - The perimeter
The perimeter of a rhombus whose diagonal lengths are in the ratio 3:4 is 40 cm. What is its area in cm²? - Swimming 78124
A 16 m square swimming pool has an area of 1 m² on the city plan. What is the scale of the city plan? - Figure
Figure A is a scale image of Figure B, as shown. (figure a is 6 inches, and figure b is x inches, both squares) The scale that maps Figure A onto Figure B is 1:1 1/3. Enter the value f x - A cube
A cube has a surface area of 64 ft². Hedy creates a reduction of this cube using a scale factor of 0.5. What is the surface area of the reduction?
- Polygon 3
Polygon ABCD is dilated, rotated, and translated to form polygon QWER. The endpoints A and B are at (0, -7) and (8, 8), and the endpoints QW are at (6, -6) and (2, 1.5). What is the scale factor of the dilation? - The length 10
The length of a rectangle is increased to 2 times its original size, and its width is increased to 3 times its original size. If the area of the new rectangle is equal to 1800 square meters, what is the area of the original rectangle? - Two pots
Two similar pots have 16 cm and 10 cm heights if the smaller pot holds 0,75 l. Find the capacity of the larger pot - An equivalent
An equilateral triangle has the same perimeter as a rectangle whose sides are b and h (b > h). Considering that the area of the triangle is three times the area of the rectangle. What is the value of b/h? - Determine 70894
The two numbers are in a 3:4 ratio. Their product is 108. Determine the larger of them.
- Calculate 70814
The length of the sides AB and AD of the rectangle ABCD are in the ratio 3: 4. A circle k with a diameter of 10 cm describes a rectangle. Calculate the side lengths of a given rectangle. - 13680m2 70374
Eight painters painted an area of 15200 m² in 5 days. How many painters will paint a room of 13680 m² in 3 days? - Quadrilateral 70294
The edge lengths of a quadrilateral prism are in the ratio a: b: c = 2:4:5. The surface of the prism is 57 cm². Calculate the volume. - Trapezoid 65644
In an isosceles trapezoid, the base ratio a / c = 9/7, arm b = 10 cm, height v = 8 cm. Calculate the area of the trapezoid in cm². - Dimensions 60923
The drawing of the apartment is in the ratio of 1:200. The living room has dimensions of 2cm x 3cm in the picture. How many square meters does the living room have?
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