Answer:(6,0)
Step-by-step explanation:
Its the only positive point on the x axis
The shadow lengthened by 2.25 ft.
<u>Step-by-step explanation:</u>
Height of the lamppost is not needed here.
We can write the ratio as,
5 /4 = x/5
25 = 4x
x = 25/ 4
Now it is not needed to find the length of the new shadow, and so, we need to find the length of the added shadow.
25 / 4 - 16/ 4 = 25 - 16 / 4 = 9/4 = 2.25 ft
Length of the new shadow is 25/ 4 = 6.25 ft
So length of new shadow - length of old shadow = 6.25 - 4 = 2.25 ft shadow lengthened
To solve for its area, we can break the figure apart.
If we splice the figure horizontally, we get a rectangle that is 30 inches long and 18 inches wide and a rectangle that is 30 inches wide and 10 inches in length.
If we solve for the two rectangles separately, we can add them to get the total area of this figure.
The area of rectangle a is 540 sq inches because 30 x 18 = 540.
The area of rectangle b is 300 sq inches because 30 x 10 = 300.
300 + 540 = 840.
The area of this figure is 840 square inches.
Hope this helps! Have an awesome day :)