Rectangle - 9th grade (14y) - examples
The rectangle has a perimeter 75 cm. Diagonal length is 32.5 cm. Determine the length of the sides.
Calculate the length of the diagonal of the rectangle ABCD with sides a = 7 cm, b = 6 cm.
What acreage has a rectangular plot whose diagonal is 34 meters long and one side has a length of 16 meters. ?
Cylinder shell has the same content as one of its base. Cylinder height is 25 m. What is the radius of the base of the cylinder?
- Diagonal in rectangle
In that rectangle ABCD is the center of BC point E and point F is center of CD. Prove that the lines AE and AF divide diagonal BD into three equal parts.
Column with posters in the form of a cylinder is 3.3 m high and its diameter is 1.5 m. What is the content area for which it is possible to stick posters?
In rectangle ABCD with sides |AB|=11, |AD|=12 is from point A guided perpendicular to the diagonal BD, which intersects at point P. Determine the ratio ?.
Rectangle ABCD has dimensions of 9 cm and 6 cm. Rectangle PQRS has dimensions 7 cm and 8 cm. Determine coefficient of the similarity k of the rectangles, if they aren't similar enter zero as the coefficient of similarity.
Swimming pool is long 110 m and 30 m wide. The plan of the city is shown as a rectangle with area 13200 cm2. What scale is the city plan?
- Rectangle Anton
Difference between length and width of the rectangle is 18. Length is 2-times larger than the width. Calculate the dimensions of the rectangle.
- Maximum area of rhombus
Calculate the interior angles at which equilateral rhombus has maximum area.
Can umbrella 75 cm long fit into a box of fruit? The box has dimensions of 390 mm and 510 mm.
Area of rectangle is 1430. Its length is 29 larger than the width. What are the dimensions of the rectangle?
- Rectangle - sides ratio
Calculate area of rectangle whose sides are in ratio 1:7 and perimeter is 735.
The perimeter of the rectangle is 22 cm and content area 30 cm2. Determine its dimensions, if the length of the sides of the rectangle in centimeters is expressed by integers.
- Cylinder - basics
Cylinder with base radius r = 37 cm and height h=74 cm. Calculate:
The rectangle is 36 cm long and 48 cm wide. Determine the radius of the circle circumscribing rectangle.
Perimeter of rectangle is 48 cm. Calculate its dimensions if they are in the ratio 5:3 (width:height)
- Triangular prism
The base perpendicular triangular prism is a right triangle whose hypotenuse measures 13 cm and one cathetus 2 cm. Height of the prism is equal to 10/7 of the perimeter of the base. Calculate the surface area of prism.
- Rectangle - sides
What is the perimeter of a rectangle with area 1026 cm2 if length of the shorter side is 11 cm shorter than the length of the longer side?