# Area of the shape - 9th grade (14y) - math problems

#### Number of problems found: 470

- The quadrilateral

The quadrilateral ABCD is composed of two right triangles ABD and BCD. For side lengths: |AD| = 3cm, | BC | = 12cm, | BD | = 5cm. How many square centimeters (area) does the quadrilateral ABCD have? The angles DAB and DBC are right. - Equilateral triangle

Find the area of an equilateral triangle with a side of 15 cm. - Calculate

Calculate the area of triangle ABC, if given by alpha = 49°, beta = 31°, and the height on the c side is 9cm. - Angle of diagonals

Calculate the perimeter and the area of a rectangle if its diagonal is 14 cm and the diagonals form an angle of 130°. - The diamond

The diamond has an area S = 120 cm^{2}, the ratio of the length of its diagonals is e: f = 5: 12. Find the lengths of the side and the height of this diamond. - Side and diagonal

Find the circumference and the area of the rectangle if given: side a = 8 cm diagonal u = 10 cm. - Megapizza

Megapizza will be divided among 100 people. First gets 1%, 2nd 2% of the remainder, 3rd 3% of the remainder, etc. Last 100th 100% of the remainder. Which person got the biggest portion? - Harry

Harry Thomson bought a large land in the shape of a rectangle with a circumference of 90 meters. He divided it into three rectangular plots. The shorter side has all three plots of equal length, their longer sides are three consecutive natural numbers. Fi - Metal washers

Metal washers with a diameter of 80 mm are cut from a strip of steel sheet with a width of 10 cm and a length of 2 m. Calculate the percentage of material waste if no material is lost when two adjacent circles meet. - Outside point

The square ABCD and the point E lying outside the given square are given. What is the area of the square when the distance | AE | = 2, | DE | = 5 a | BE | = 4? - Right isosceles triangle

What can be the area of a right isosceles triangle with a side length of 8 cm? - Ratio in trapezium

The height v and the base a, c in the trapezoid ABCD are in the ratio 1: 6: 3, its content S = 324 square cm. Peak angle B = 35 degrees. Determine the perimeter of the trapezoid - Four sides of trapezoid

Calculate the area of the ABCD trapezoid with sides a = 65 cm, b = 29 cm, c = 40 cm, d = 36 cm - Ratio of triangles areas

In an equilateral triangle ABC, the point T is its centre of gravity, the point R is the image of the point T in axial symmetry, along the line AB, and the point N is the image of the point T in axial symmetry along the line BC. Find the ratio of the area - Squares above sides

In a right triangle, the areas of the squares above its sides are 169; 25 and 144. The length of its longer leg is: - Garden G

The rectangular, trapezoidal garden has a base length of 81m, 76m, and a vertical arm of 12m. Calculate how many m^{2}of the area will remain for planting greenery if 1/3 of the area is built. Calculate the consumption of mesh for land fencing. - Right triangle

A circle with a radius of 5 cm is described in a right triangle with a 6 cm leg. What is the height at the hypotenuse of this triangle? - The land

The land, which has dimensions of 220 m and 308 m, the owner wants to divide into equally large square plots with the largest possible area. How long will one side of the plot be? - How many

How many different rectangles with integer page lengths have an area S = 60 cm²? - Find the

Find the pressure exerted by a crawler tractor of mass 30 t standing on a horizontal road if the content of the contact surface of the belts with the ground is 6 m square.

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Examples of area of plane shapes. Examples for 9th grade.