The area of the irregular polygon in the sketch is: D. 40.5 cm².
To find the area of an irregular polygon, decompose the polygon into known shapes. Find the area of each shape and add all together.
Thus:
The irregular polygon is made up of a rectangle and a triangle.
Area of the irregular polygon = area of rectangle + area of triangle.
= length × width + 1/2(base × height)
Length = 12.5 cm
Width = 3 cm
Base = 3 cm
Height = 2 cm
Area of the irregular polygon = 12.5 × 3 + 1/2(3 × 2)
= 40.5 cm²
Learn more about area of irregular polygon on:
Answer:
The answer is 40.5 (D)
Answer:
The number of big pictures are 49 and number of small pictures are 48 .
Step-by-step explanation:
Let us assume that the number of big pictures are x .
Let us assume that the number of small pictures are y .
As given
Big pictures are 56$ each small ones are 34$.
97 were sold at the total of $4,376.
Equations becomes
x + y = 97
56x + 34y = 4376
Multiply x + y = 97 by 56 and subtracted from 56x + 34y = 4376 .
56x - 56x + 34y - 56y = 4376 - 5432
-22y = - 1056
22y = 1056
y = 48
Put value of y in the equation x + y = 97
x + 48 =97
x = 97 - 48
x = 49
Therefore the number of big pictures are 49 and number of small pictures are 48 .