Question

Btw the bit at the top thats cut off says fence is 15

Answer 1

Answer:

47.4 pounds

Step-by-step explanation:

First, find the height of the trapezoid. Draw the height DE. Quadrilateral ABED is a rectangle, then BE = 12 cm. Since BC = 20 cm, then EC = 20 - 12 = 8 cm.

Consider right triangle DEC. By the Pythagorean theorem,

$DE^2+EC^2=CD^2\\ \\DE^2+8^2=17^2\\ \\DE^2=289-64\\ \\DE^2=225\\ \\DE=15\ cm$

The area of the trapezoid ABCD is

$A=\dfrac{AD+BC}{2}\cdot DE=\dfrac{12+20}{2}\cdot 15=16\cdot 15=240\ cm^2$

One can cover $100\ cm^2$, then it is needed

$\dfrac{240}{100}=2.4$ cans

One can costs 19.75 pounds, then 2.4 cans cost

$19.75\cdot 2.4=47.4$ pounds