Question

Match the formula with the polygon.

Polygons:
1. triangle; 2. rhombus; 3. parallelogram; 4. square; 5. trapezoid; 6. regular polygon; 7. equilateral triangle

Formulas:
A = bh
A = 1/2 h(b1 + b2)
A = s^2
A = 1/2 d1 d2
A = 1/2 ap
A = 1/2 bp
A = 1/4 s^2 sqrt(3)

Answer 1

Step-by-step explanation:

Lets sort out the areas of the polygons to match the areas with the corresponding polygons.

1. Triangle

The formula of the area of the triangle will be:

$A\:=\:\frac{1}{2} \:\:b\:h$

where b is the base and h is the height of the given triangle

2. rhombus

The formula of the area of the rhombus will be:

$A\:=\:\frac{pq}{2}$

where p and q being the diagonals

3. Parallelogram

The formula of the area of the parallelogram will be:

$A = bh$

where b is the base and h is the height

4. square

The formula of the area of the square will be:

$A\:=\:s^2$

where s being the length if any side, as all sides are equal in square

5. trapezoid

The formula of the area of the trapezoid will be:

$A\:=\:\frac{1}{2}\:h\left(b1\:+\:b2\right)$

where h is the height and $b1$ and $b2$ being the bases.

6. regular polygon

The formula of the area of the regular polygon will be:

$A\:=\:\frac{\left(ap\right)}{2}$

where a is the apothem and p is the perimeter.

7. equilateral triangle

The formula of the area of an equilateral will be:

$A\:=\:1/4\:s^2\:sqrt\left(3\right)$

where s is the length of one side of the triangle

Keywords: area, Triangle, square, parallelogram, rectangle, trapezoid, regular polygon, equilateral triangle

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Answer 2

Answer:

1. A = 1/4s squared, square root of 3      equilateral triangle

2. A = bh                                                  rectangle  

3. A = pi(r) squared                                  circle area  

4. A = 1/2 h (b1+ b2)                                trapezoid

5. C = pi(d)                                               circle circumference  

6. A = base x altitude                               parallelogram

7. A = 1/2(ap)                                           regular polygon

8. A = 1/2(bh)                                           triangle

Step-by-step explanation: