# Problems of area of plane shapes

- Diagonal to area

Calculate the area of a rectangle in which the length of the diagonal is 10 cm. - Map scale

The rectangular plot has in a scale of 1: 10000 area 3 cm^{2}on the map. What content does this plot have on a 1:5000 scale map? - Coordinate axes

Determine the area of the triangle given by line -7x+7y+63=0 and coordinate axes x and y. - Trapezoid - intersection of diagonals

In the ABCD trapezoid is AB = 8 cm long, trapezium height 6 cm, and distance of diagonals intersection from AB is 4 cm. Calculate trapezoid area. - Annual rainfall

The average annual rainfall is 686 mm. How many liters will fall on the 1-hectare field? - Rectangle area

The length of a rectangle of x units is increased by 10% and its width of y units is increased by 15%. What is the ratio of the area of the old rectangle to the area if the new rectangle? - Pravoúhly trojúhelník

Určete obsah pravoúhlého trojúhelníku, jehož délky stran tvoří po sobě jdoucí členy aritmetické posloupnosti a poloměr kružnice opsané tomuto trojúhelníku je 5 cm. - Garden

Area of square garden is 6/7 of triangle garden with sides 96 m, 60 m and 60 m. How many meters of fencing need to fence a square garden? - Trapezoid MO

The rectangular trapezoid ABCD with right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - Right Δ

Right triangle has length of one leg 68 cm and length of the hypotenuse 85 cm. Calculate the height of the triangle. - Triangle SAS

Calculate area and perimeter of the triangle, if the two sides are 19 cm and 80 cm long and angle them clamped is 90°. - Tetrahedral pyramid

What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=23 and height v=8? - Square

Points A[1,5] and B[-4,-5] are adjacent vertices of the square ABCD. Calculate area of the square ABCD. - Scale

Swimming pool is long 110 m and 30 m wide. The plan of the city is shown as a rectangle with area 13200 cm^{2.}What scale is the city plan? - Regular 5-gon

Calculate area of the regular pentagon with side 11 cm. - Rhombus

Calculate the perimeter and area of rhombus whose diagonals are 26 cm and 42 cm long. - Right triangle Alef

The perimeter of a right triangle is 132 cm, the hypotenuse is 55 cm long. Determine the lengths of the legs. - Tereza

The cube has area of base 400 mm^{2.}Calculate the edge length, volume and area of its surface. - Rectangle

In rectangle with sides 10 and 9 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than to any side of the rectangle? - Area of RT

Calculate the area of a right triangle which hypotenuse has length 15 and one hypotenuse segment has lenght 11.

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