Solve the equation 3x + 5y = 16 for y.
2 answers:
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<h2>Answer:</h2>
42 square units
<h2>Step-by-step explanation:</h2>For a better understanding, I add an EFGH Rectangle.
The area of EFGH Rectangle = p x l
The area of EFGH Rectangle = 10 x 8
The area of EFGH Rectangle = 80cm²
The area of BHA Triangle = 1/2 x a x t
The area of BHA Triangle = 1/2 x a x t
The area of BHA Triangle = 1/2 x 6 x 4
The area of BHA Triangle = 2 x 6
The area of BHA Triangle = 12cm²
The area of AGD Triangle = 1/2 x a x t
The area of AGD Triangle = 1/2 x 4 x 2
The area of AGD Triangle = 4cm²
The area of CFD Triangle = 1/2 x a x t
The area of CFD Triangle = 1/2 x 2 x 6
The area of CFD Triangle = 6cm²
The area of BEC Triangle = 1/2 x a x t
The area of BEC Triangle = 1/2 x 8 x 4
The area of BEC Triangle = 4 x 4
The area of BEC Triangle = 16cm²
The area of the trapezoid = EFGH Rectangle - (BHA Triangle + AGD Triangle + CFD Triangle + BEC Triangle)
The area of the trapezoid = 80 - (12 + 4 + 6 + 16)
The area of the trapezoid = 80 - 38
The area of the trapezoid = 42cm²
<h3>Conclusion :</h3>The area of the trapezoid is <u>42 square units</u>
Answer:
1. perimeter of Trapezoid = 35x+18
Option F is correct.
2. perimeter of square = 16x-32
Option C is correct.
3. perimeter of Pentagon = 10x-20
Option A is correct.
4. perimeter of Rhombus = 28x+8
Option H is correct.
Step-by-step explanation:
1. Trapezoid Perimeter
Side1 a: 9x+4
Side2 b: 7x+8
Side3 c: 12x-2
Side4 d: 7x+8
The formula used is:
Putting values and finding perimeter
So, perimeter = 35x+18
Option F is correct.
2. Square Perimeter
Side of square = 4x-8
The formula used is:
where a is side of square
Putting values in formula
So, perimeter of square = 16x-32
Option C is correct.
3. Pentagons perimeter
Side of pentagon= 2x-4
The formula used is:
where a is side of pentagon.
Putting values in formula
So, perimeter of Pentagon = 10x-20
Option A is correct.
4. Rhombus perimeter
Side of Rhombus=7x+2
The formula used is:
where a is side of rhombus
Putting values in formula
So, perimeter of Rhombus = 28x+8
Option H is correct.