# Area + system of equations - practice problems

#### Number of problems found: 64

- Diamond diagonals

Calculate the diamond's diagonal lengths if its content is 156 cm² and the side length is 13 cm. - Nice prism

Calculate the cuboid's surface if the sum of its edges is a + b + c = 19 cm and the body diagonal size u = 13 cm. - Trapezoid

How long are the trapezoid bases with area 24 cm² and height 3 cm. One base is 3 times longer than the shorter. - Body diagonal

The cuboid has a volume of 32 cm³. Its side surface area is double as one of the square bases. What is the length of the body diagonal? - The rectangle

Determine the area of the rectangle where the length and width are in the ratio 5:2 and its length is 7.5 cm longer than its width. Determine also its length and its width. - Trapezoid

trapezoid ABCD a = 35 m, b=28 m c = 11 m and d = 14 m. How to calculate its area? - Rectangle

The length of the rectangle is 12 cm greater than 3 times its width. What dimensions and area this rectangle has if ts circumference is 104 cm. - Rectangle vs square

One side of the rectangle is 1 cm shorter than the side of the square, the second side is 3 cm longer than the side of the square. Square and rectangle have the same content. Calculate the length of the sides of a square and a rectangle. - Two lands

The common area of the two neighboring lands is 964 m². The second land is 77 m² smaller than twice the size of the first land. Find the areas of each land. - Land areas

Two land areas are 244 m². The first parcel is 40 m² less than twice the second one. What has the acreage of each parcel? - Property

The length of the rectangle-shaped property is 8 meters less than three times of the width. If we increase the width 5% of a length and lendth reduce by 14% of the width it will increase the property perimeter by 13 meters. How much will the property cost - 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. - Family parcels

In father will he divided the land so that the older son had three bigger part than younger son. Later elder son gave 2.5 ha field to younger and they had both the same. Determine the area of family parcel. - The hall

The hall had a rectangular ground plan one dimension 20 m longer than the other. After rebuilding the length of the hall declined by 5 m and the width has increased by 10 m. Floor area increased by 300 m². What were the original dimensions of the hall? - Rectangle - sides 3

If in the rectangle ABCD we enlarge the side a by 5 cm and decrease the side b by 2 cm, the rectangle area will be reduced by 5 cm². When we decrease the length of the side a by 4 cm and at the same time we increase the length of side b by 3 cm we increas - Rectangles - sides

One side of the rectangle is 10 cm longer than a second. Shortens longer side by 6 cm and extends shorter by 14 cm increases the rectangle area by 130 cm². What are the dimensions of the original rectangle? - Triangle ABC

Calculate the sides of triangle ABC with area 1404 cm² and if a: b: c = 12:7:18 - Two squares

Two squares whose sides are in the ratio 5:2 have a sum of its perimeters 73 cm. Calculate the sum of the area of these two squares. - R triangle

Calculate the right triangle area whose longer leg is 6 dm shorter than the hypotenuse and 3 dm longer than the shorter leg. - Rectangular field

One dimension of the rectangular field is 56 m greater than second dimension. If each side of the rectangle increases by 10 m, increases the surface field is 1480 m² . Determine dimencions of the field.

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