Find the area of the following rhombus: 6 cm 10 cm 8 cm A=121 cm2
2 answers:
Answer:
Area of rhombus is 30cm².
Step-by-step explanation:
A rhombus having diagonals 6cm and 10cm . Find the area of rhombus.
Solution :-
Let us assume that
Finding the area of rhombus
Using Formula :-
Area of rhombus = ½ × ×
Substitute the values of both diagonals.
Area of rhombus = ½ × <u>6cm × 10cm</u>
Multiply the numbers
Area of rhombus = ½ × 60cm²
Divide we get ,
Area of rhombus = 30 cm
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First, let's divide the figure in two parts, called "A" and "B (View the figure attached):
a: The paralelogram
b: The rectangle
To find the area of the parallelogram, we must apply the following formula:
A=bxh
b: is the base of the parallelogram.
h: the height of the parallogram.
We can know the length of the base and the heigh by the figure shown in the problem:
b=4
h=3
Then, we have:
A(a)=bxh
A(a)=4x3
A(a)=12
Now, we must proceed to find the area of the rectangle, by using the formula:
A(b)=bxh
b=9 (the base of the rectangle)
h=3 (the height of the rectangle)
A(b)=9x3
A(b)=27
Then, the area of the figure is:
At=A(a)+A(b)
At=12+27
At=39
a: The paralelogram
b: The rectangle
To find the area of the parallelogram, we must apply the following formula:
A=bxh
b: is the base of the parallelogram.
h: the height of the parallogram.
We can know the length of the base and the heigh by the figure shown in the problem:
b=4
h=3
Then, we have:
A(a)=bxh
A(a)=4x3
A(a)=12
Now, we must proceed to find the area of the rectangle, by using the formula:
A(b)=bxh
b=9 (the base of the rectangle)
h=3 (the height of the rectangle)
A(b)=9x3
A(b)=27
Then, the area of the figure is:
At=A(a)+A(b)
At=12+27
At=39