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Answer:
384 cm^2
Step-by-step explanation:
The perimeter is calculated by adding all side lengths
if the ratio is 6:8:10 then let x represent the numbers
then we can make this equation
6x + 8x + 10x = 96
24x = 96 divide both sides by 24
x = 4 the side lengths are 6*4, 8*4 and 10*4
The area of a triangle is calculated by multiplying height and base and that divided by two
in right triangles the height is the larger leg and the base is the shorter leg
so the area of this triangle is :
32*24 / 2 = 384 cm^2
Given : the perimeter of the right angle triangle is 96cm the length in sides are in a ratio 6:8:10. work out the area of the triangle in cm²
Need to Find : The area of the Rectangle
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Let us assume the constant multiple be x
So,
Let the length be 10x
Let the breadth be 6x
Let the height be 8x
Now, as we know that the Perimeter of rectangle is 96 cm
★ Perimeter = Sum of all three sides of a triangle
➛ 96 cm = 6x + 8x + 10x
➛ 96 cm = 24x
➛ x = 96/24
➛ x = 4 cm
Putting x = 4 we get
Length = 10(4) = 40 cm
Breadth = 6(4) = 24 cm
Height = 10(4) = 32 cm
As we know that
★ Area = ½ × Base × Height
➛ Area = ½ × 24 × 32
➛ Area = 12 × 32
➛ Area = 384 cm²