Answer:
The original side length of the square was 9 ft
Step-by-step explanation:
Consider that the square was initially of side length "x" (our unknown). Then the sides were all increased by 5 ft, and now the perimeter (addition of all four sides) of the square render 56 ft.
Let's write an equation that represents the addition of the four sides of this new rectangle, and set it equal to 56 ft. Then solve for the unknown "x":
Therefore, the original side of the square was 9 ft.
Answer:
The actual area of the town is 14 miles.
Step-by-step explanation:
Since you know that the scale is 1 inch:4 miles and that the map shows a town with an area of 3.5 inches, you can expressed this as follows:
Scale: 1 inch:4 miles
map area: 3.5 inches
If the actual area is x, you can say that:
3.5:x=1:4
This would be:
Now, you can solve for x:
x=(3.5*4)/1
x=14
According to this, the answer is that the actual area of the town is 14 miles.
we can divide the composite shape into on quadrilateral and triangle as shown in the diagram. since the line that joins the two shape is parallel to the base AB, the angle DEC is 85°.The angle CEA is 180°- angle DEC = 180-85=95. Angle BCE is sum of angle CEA, ABC and EAB subtracted from360°= 360°-(95+95+85)=85°. Angle DCE is 120°- ECB=35°. So, angle CDE = 180°-(35°+85°)= 60°. For reference see the diagram.
