Estimate the perimeter and area of the shaded figure to the nearest tenth.
1 answer:
Answer:
Perimeter = 18.7 units
Area = 13.5 units²
Step-by-step explanation:
Perimeter of ADEC = AD + DE + EC + AC
Length of AD = 3 units
By applying Pythagoras theorem in ΔDBE,
DE² = DB² + BE²
DE² = 3² + 3²
DE = √18
DE = 4.24 units
Length of EC = 3 units
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
AC² = 6² + 6²
AC = √72
AC = 8.49 units
Perimeter of ADEC = 3 + 4.24 + 3 + 8.49
= 18.73 units
≈ 18.7 units
Area of ADEC = Area of ΔABC - Area of ΔBDE
Area of ΔABC =
=
= 18 units²
Area of ΔBDE =
=
= 4.5 units²
Area of ADEC = 18 - 4.5
= 13.5 units²
You might be interested in
Answer:
The actual dimension is 18.28 by 3.28
Step-by-step explanation:
Given
Dimension:
Required
Determine the quadratic equation and get the possible values of x
Solving (a): Quadratic Equation.
The cardboard is rectangular in shape.
Hence, Area is calculated as thus:
Open Bracket
Subtract 60 from both sides
<em>Hence, the above represents the quadratic equation</em>
Solving (b): The actual dimension
First, we need to solve for x
This can be solved using quadratic formula:
Where
So:
Split:
or
or
or
But length can't be negative;
So:
The actual dimensions: is
<em>The actual dimension is 18.28 by 3.28</em>