Answer:
The area of the polygon is 42
.
Step-by-step explanation:
A polygon is a shape that has three or more sides. They are named with respect to the number of their sides. Example, an octagon has 8 sides, hexagon has 6 sides etc.
From the given figure, the area of the shaded polygon can be calculated by;
Area of polygon = Area of square - Sum of areas given
Sum of areas given = 24 + 30 + 48
= 102
The four sides of the figure are equal, thus it is a square. The length of each side is 12 cm, so that:
Area of square = length × width
= 12 × 12
= 144
Area of polygon = 144 - 102
= 42
The area of the polygon is 42.
Answer:
22w - 18
Step-by-step explanation:
To find the perimeter we have to add up all the sides
10w-10+w+1+10w-10+w+1
combine light terms
22w - 18 would be our answer
Answer:
Distance between the school and the theater = 
units
Step-by-step explanation:
Use distance formula to calculate the distance from the school (8, 7) and the theater (2, 3):
Let,
Plug in the values into the distance formula
Simplify
Answer: He ate 8 grapes on Monday.
Step-by-step explanation:
Let be "x" the number of grapes Godswill ate on Monday.
You know that he ate 6 more grapes than he had on Monday. This can be expressed with:
Since each day that week, he ate 6 more grapes than the day before and he realized on Friday he had eaten a total of 100 grapes this week, you can write the following expression and solve for "x":
