Answer:
45 sq. units
Step-by-step explanation:
We can draw a segment from F to S, splitting this figure into a rectangle and a triangle.
The area of a rectangle is given by the formula A=lw, where l is the length and w is the width.
The width of this figure is the distance of FW; this is 2. The length of this figure is the distance of WC; this is 9. This makes the area of the rectangle A=2(9) = 18 sq. units.
The area of a triangle is given by the formula A=1/2(b)(h), where b is the base and h is the height.
The base of the triangle is given by the distance of FS; this is 9. The height of the triangle is given from N to segment FS; this is 6. This makes the area of the triangle A=1/2(6)(9) = 27 sq. units.
This makes the total area 18+27 = 45 sq. units.
Answer:
Area of polygon = 45 units²
Step-by-step explanation:
Given : The figure attached of the polygon.
To find : What is the area of this polygon?
Solution :
To find the area we divide polygon into two areas by creating a line between F and S.
The two area form are triangle FNS and rectangle FWCS.
In triangle FNS,
Area of triangle is [tex]A=\frac{1}{2}\times \text{Base}\times \text{Height}[/tex]
The Base is unit from F to S is 9 unit (add each block).
The height is unit from N to base is 6 unit.
Area of triangle is [tex]A_t=\frac{1}{2}\times 9\times 6[/tex]
[tex]A_t=27\ unit^2[/tex]
In rectangle FWCS,
Area of rectangle is [tex]A=\text{Length}\times \text{Width}[/tex]
The Length is unit from F to S is 9 unit.
The Width is unit from F to W is 2 unit.
Area of rectangle is [tex]A_r=9\times 2[/tex]
[tex]A_r=18\ unit^2[/tex]
Area of polygon = Area of triangle + Area of rectangle
Area of polygon =27+ 18
Area of polygon = 45 units²
