# Area of shape + expression of a variable from the formula - math problems

#### Number of problems found: 236

• Hexagon ABCDEF
In the regular hexagon ABCDEF, the diagonal AE has a length 8cm. Calculate the circumference and the hexagon area.
• Isosceles right triangle
Area of an isosceles right triangle is 18 dm2. Calculate the length of its base.
• Garden
Trapezoid garden has parallel sides 19 m and 24 m. Its area is 193.5 square meters. What is the width of the garden?
• Equilateral triangle vs circle
Find the area of an equilateral triangle inscribed in a circle of radius r = 9 cm. What percentage of the circle area does it occupy?
• Isosceles trapezium
Calculate the area of an isosceles trapezium ABCD if a = 10cm, b = 5cm, c = 4cm.
• Pilot
How high is the airplane's pilot to see 0.001 of Earth's surface?
• Tereza
The cube has an area of base 256 mm2. Calculate the edge length, volume, and area of its surface.
• Diagonals of a rhombus
One of the diagonals of a rhombus is twice as the other. If the sum of the lengths of the diagonals is 24, find the area of the rhombus.
• RT 11
Calculate the area of right tirangle if its perimeter is p = 45 m and one cathethus is 20 m long.
• Rhombus 2
Calculate the rhombus area, which has a height v=48 mm and shorter diagonal u = 60 mm long.
• 7 triangle
The triangle area is 26.7 cm2. Determine the side length l if appropriate height hl = 45.3 cm.
• Square s3
Calculate the diagonal of the square, where its area is 0.49 cm square. And also calculate its circumference.
• Right isosceles triangle
What can be the area of a right isosceles triangle with a side length of 8 cm?
• Square and rectangle
Calculate the side of a square which content area equals area of the rectangle having a length of 3 cm greater and by 2 cm smaller than the side of the square.
• Rectangular triangle
The lengths of the rectangular triangle sides with a longer leg of 12 cm form an arithmetic sequence. What is the area of the triangle?
• Rectangle
Calculate area of the rectangle if its length is 12 cm longer than its width and length is equal to the square of its width.
• 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?
• Rectangular garden
The sides of the rectangular garden are in ratio 1: 2. The diagonal has a length of 20 meters. Calculate the area and perimeter of the garden.
• Cube 5
The content area of one cube wall is 32 square centimeters. Determine the length of its edges, its surface and volume.
• Sss triangle
Calculate the area and heights in the triangle ABC by sides a = 8cm, b = 11cm, c = 12cm

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Examples of area of plane shapes. Expression of a variable from the formula - math word problems.