Planimetrics + inverse relationship - practice problems
Number of problems found: 37
- The capacitor
The parallel square plates of a 4.5µF Teflon capacitor are 3.2 mm apart. What is the area of the plate? - Procedure 7191
I have a board measuring 3.2 m x 1.23 m, and I need to draw it in A3 format, and it has a size of 42 cm x 29.7 cm. How do I find out the ratio in which to draw the board? I will also ask for the procedure. - Glass
At the glass shop, we have to cut eight sheets of glass. Each was shaped as a square with sides of 18 cm. We paid 44 CZK. How much is 1 m² of glass? - 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?
- Washer
The washing machine drum washes at 71 RPM. The washing machine motor pulley has a diameter of 8 cm. What must be the diameter of the drum machine pulley when the motor is at 351 RPM? - Eight-square 29951
How many g of grass seed do we have to buy in the eight-square garden with a side of 20 m if we need 100 g of seed per 8 m²? - Segment in a triangle
In a triangle ABC with the side/AB/ = 24 cm constructed middle segment/DE/ = 18 cm parallel to the side AB at a distance of 1 cm from AB. Calculate the height of the triangle ABC to side AB. - Olda wanted
Oldrich wanted to enlarge the 9 cm x 13 cm photo so that the shorter side measured 18 cm. How big will the longer side of the photo be? - Field on plan
The plan has a scale of 1: 2500. Determine dimensions in centimeters of the plan if the field has a length of 310 meters and 182.5 meters.
- Square 8198
In 2 hours, 100m square, what is an area in 3 hours? - Minutes 6071
What is the angle of the big hand of the watch in 20 minutes? - Arc
The length of the circle is 18, and the arc length of the circle is 1. What is the magnitude of the angle of this arc? - Reconstruction 23531
The enclosure for lions in the ZOO has a rectangular shape with a length of 5.6m and a width of 6.8m. During the reconstruction, the length of the fence must be adjusted to 5.2 m so that the size (contents) of the paddock stays the same. What will be the - Diameters: 23901
When paying, we use euro coins with the following diameters: The 10-cent coin has a diameter of 19.75 mm. The 20-cent coin has a diameter of 22.25 mm. The 50-cent coin has a diameter of 24.25 mm. Find out in what ratio the diameters of these coins are.
- Interesting property
Plot a rectangular shape has the interesting property that circumference in meters and the area in square meters are the same numbers. What are the dimensions of the rectangle? - Rectangular 6892
How does one dimension of a rectangular garden depend on another if the garden has an area of 500 m²? - The sides
The sides of the rectangle are in a ratio of 3:5, and its circumference measures 72 cm. Calculate: a) the size of both sides of the rectangle b) the area of the rectangle c) the length of the diagonals - Photocopier
A photocopier enlarges a picture in the ratio of 7:4. How many times will a picture of size 6cm by 4cm be enlarged to fit on a 30cm by 20 cm page? - Consumption 30411
The vest consumes 170 cm of fabric with a width of 140 cm. What is the consumption of a material that is 150 cm wide?
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