Study guides

☆☆

Q: Find the area of a rhombus whose one side is 13 cm and the altitude is 10 cm?

Write your answer...

Submit

Still have questions?

Continue Learning about Algebra

A = baWhere A = areab = length of the basea = altitude (height).

The height or altitude of triangle: (2*45)/15 = 6cm Check: 0.5*15*6 = 45 square cm

Constructing the figure, we find the other diagonal to have length 10.The area of the rhombus would thus be 10x8x0.5=40

If you want to find the area of a rectangle (inclusively a square), rhombus, or parallelogram, you multiply.

If you have a rhombus that has been divided into four in this way, each part has an equal area. Each part is also a right-angled triangle, whose perpendicular sides are of lengths 5 and 6 inches (since these will be half the distances of the diagonals of the rhombus). Draw a sketch and you will see that this is the case. The area of a right-angled triangle is given by: A = base x height / 2 = 5 inches x 6 inches / 2 = 15 square inches Since there are four of these triangles, each having an area of 15 square inches, the total area of the rhombus is given by: A = 4 x 15 square inches = 60 square inches

Related questions

Find the area of a rhombus whose side is 6 cm and whose altitude is 4 cm? . Area = base * height Altitude = height. Altitude = 4 cm . A rhombus has all 4 sides equal, so the base = 6 cm . Area = base * height . Area = ____sq. cm.

Perimeter = 4*Side so that Side = Perimeter/4 Area of a rhombus = Side * Altitude so Altitude = Area/Side = Area/(Perimeter/4) = 4*Area/Perimeter

A = baWhere A = areab = length of the basea = altitude (height).

123

28

30

150 sq meters

Area of the rhombus: 0.5*8*10 = 40 square feet

Area of a rhombus = 0.5 times the product of its diagonals

That is one of the ways of finding the area of a rhombus. The area is half the product of the diagonals. In this case, 1/2 of 7 x 4.4 or .154. You can also find the area of a rhombus by using one side as the base and finding an altitude for that base and multiplying them. There is a third way using trigonometry.

With perimeter 10 and all sides equal fora rhombus, each side (base) is 10/4 = 2.5 inch Area = base times altitude = 2.5 x 12 = 30

Area = 0.5*12*8 = 48 square units

People also asked