# Area of shape + equation - math problems

#### Number of problems found: 103

• Garden
The garden has a rectangular shape and has a circumference of 130 m and area 800.25 m2. Calculate the dimensions of the garden.
• Two gardens
The flower garden has a square shape. The new garden has the shape of a rectangle, and one dimension is 8 m smaller, and the other is twice as large as in a square garden. What were the original garden dimensions and the new garden if both gardens' area i
• Trapezium
The lengths of parallel sides of a trapezium are (2x+3) and (x+8), and the distance between them is (x+4). if the area of the trapezium is 590, find the value of x.
Calculate the radius of the quadrant, which area is equal to area of circle with radius r = 15 cm.
• 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
• Rectangle field
The field has a shape of a rectangle having a length of 119 m and a width of 19 m. , How many meters have to shorten its length and increase its width to maintain its area and circumference increased by 24 m?
• Rectangle - area, perimeter
The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70 meters. Find the length and width of this rectangle.
• Triangle
Calculate the triangle sides if its area S = 630 and the second cathetus is shorter by 17.
• Trapezoid ABCD v2
Trapezoid ABCD has a length of bases in ratio 3:10. The area of triangle ACD is 825 dm2. What is the area of trapezoid ABCD?
• Rhombus
The rhombus with area 68 has one diagonal is longer by 6 than second one. Calculate the length of the diagonals and rhombus sides.
Determine the radius of the circle, if its perimeter and area is the same number.
• Equilateral triangle
Calculate the area of an equilateral triangle with circumference 72cm.
• Area and perimeter of rectangle
The content area of the rectangle is 3000 cm2, one dimension is 10 cm larger than the other. Determine the perimeter of the rectangle.
• Three shapes
1/5 of a circle is shaded. The ratio of area if square to the sum of area of rectangle and that of the circle is 1:2. 60% of the square is shaded and 1/3 of the rectangle is shaded. What is the ratio of the area of circle to that of the rectangle?
• How many
How many different rectangles with integer page lengths have an area S = 60 cm²?
• Rectangle
Area of rectangle is 3002. Its length is 41 larger than the width. What are the dimensions of the rectangle?
• Heron backlaw
Calculate missing side in a triangle with sides 17 and 34 and area 275.
• Tiles
The tile has the shape of a square with a side of 15 cm. What dimensions can a rectangle composed of 90 of these tiles have so that no tile remains?
• Sides of the triangle
Calculate triangle sides where its area is S = 84 cm2 and a = x, b = x + 1, xc = x + 2