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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
What else can I help you with?
What is the area of rhombus ABCD if AC 7 and BD 12?
The 2 lengths that you described are diagonals. The area of a rhombus when you know the diagonals is half the product of the diagonals: Area = (1/2) * ( 12 * 7) = 42.
Area of a rhombus with diagonals of 10 and 12?
60 square units.
What is the area of a rhombus if one of the diagonals is ten cm and the perimeter is fourteen cm?
Answer63cm2. False
What is the area of diagonals of 14 feet and 10 feet?
If this is a rhombus then the area is half the product of the diagonals - 10 x 14 = 140. Half of 140 = 70, so the area is 70 square feet.
How can you find the area of a rhombus using diagonals?
The area of a rhombus is half the product of the diagonals. A = 1/2bc. The diagonals (of length b and c) intersect at right angles and form two congruent triangles either side of one chosen diagonal. The area of one such triangle is 1/2b x 1/2c (area of a triangle = 1/2 base x height). The area of both triangles and therefore the area of the rhombus is 2(1/2b x 1/2c) = 1/2bc.
What is the area of a rhombus whose diagonals are 8 and 10 feet?
Area of the rhombus: 0.5*8*10 = 40 square feet
What is the area of a rhombus with 5 centimeter diagonals?
The diagonals of a rhombus cannot be the same size.
Area of rhombus with diagonals 28Cm square and 28Cm?
The area of rhombus with diagonals 28Cm square and 28Cm is: 392 cm2
What is the area of a rhombus whose diagonals are 14 cm and 8 cm?
14*8 = 112 sq cm
What is the area of a rhombus whose diagonals measure 10m and 12m?
It is: 0.5*10*12 = 60 square m
What is the area of a rhombus with diagonals of 10?
If both diagonals are 10 units then the rhombus is, in fact, a square. Its area is 50 square units.
What is the area of rhombus ABCD if AC 7 and BD 12?
The 2 lengths that you described are diagonals. The area of a rhombus when you know the diagonals is half the product of the diagonals: Area = (1/2) * ( 12 * 7) = 42.
How do you find the measures of a rhombus with two diagonals?
That will depend on the lengths of the diagonals of the rhombus which are of different lengths and intersect each other at right angles but knowing the lengths of the diagonals of the rhombus it is then possible to work out its perimeter and area.
How do you calculate the area of a rhombus?
Multiply the diagonals and divide by 2
Find the area of a rhombus with diagonals that measure 8 and 10?
Find the area of a rhombs with diagonals that measure 8 and 10.
What is the equation for the area of a rombus?
Area of rhombus = 0.5 times the product of its diagonals
Area of a rhombus with diagonals of 8 ft and 10 ft?
The area of the rhombus is 40 square feet. To see why, Draw a rectangle encompassing the rhombus with sides parallel to the rhombus' diagonals. The rectangle has dimensions 10 ft X 8 ft = 80 square ft. Using the diagonals as dividers, each quarter of the rectangle is divided into 2 by one of the rhombus' sides. Thus the area of the rhombus is exactly half that of the encompassing rectangle.
