A quadrilateral is any figure with 4 sides, no matter what the lengths of
the sides or the sizes of the angles are ... just as long as it has four straight
sides that meet and close it up.
Once you start imposing some special requirements on the lengths of
the sides, or their relationship to each other, or the size of the angles,
you start making special kinds of quadrilaterals, that have special names.
The simplest requirement of all is that there must be one pair of sides that
are parallel to each other. That makes a quadrilateral called a 'trapezoid'.
That's why a quadrilateral is not always a trapezoid.
Here are some other, more strict requirements, that make other special
quadrilaterals:
-- Two pairs of parallel sides . . . . 'parallelogram'
-- Two pairs of parallel sides
AND all angles the same size . . . . 'rectangle'
(also a special kind of parallelogram)
-- Two pairs of parallel sides
AND all sides the same length . . . 'rhombus'
(also a special kind of parallelogram)
-- Two pairs of parallel sides
AND all sides the same length
AND all angles the same size . . . . 'square'.
(also a special kind of parallelogram, rectangle, and rhombus)
The area of the given shape is 220.24 square cm.
Step-by-step explanation:
Step 1;
Area of given shape = Area of the rectangle + Area of the quarter circle.
The given rectangle measures a length of 17 cm and a width of 10 cm. The area of any given rectangle is the multiplication of its length and width. Area of the Rectangle = Length * Width = 17 cm * 10 cm = 170 square cm.
The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 cm.
Area of the circle = π × r² = 3.14 × 8 × 8 = 200.96 square cm.
200.96 square cm is the area of a full circle with a radius of 8 cm. We divide the area by 4 to convert it into a quarter-circle.
Area of the quarter circle = 200.96 square cm / 4 = 50.24 square cm.
So the quarter circle covers an area of 50.24 square cm.
Step 2;
Area of given shape = Area of the rectangle + Area of the quarter circle
Area of given shape = 170 + 50.24 = 220.24 square cm.
Answer:
m 7=129
Step-by-step explanation:
if 6 and 7 are right next to each other. it makes 180 degrees so you would take 180-51 to get your answer
Calculate and multiply to get
-4/(-6)+7 - 2x(-2)/-1x3+7
Next remove parentheses and calculate,
You'll get -4/-6+7 - 2x(-2)/4
Then calculate and reduce,
-4/1 - -2/2
Reduce and divide to get -4-(-1)
Remove parentheses, -4+1
And calculate to get your final answer
= -3
