What is thee area of TUVW, if TU =7 WV =15 and UV = 10

I know the answer is 66, but not sure how height was calculated to be 6

Question

What is thee area of TUVW, if TU =7 WV =15 and UV = 10

I know the answer is 66, but not sure how height was calculated to be 6

campbell_st · Answer

what type of quadrilateral

anonymous · Answer

|dw:1330834949124:dw|

.sam. · Answer

$$\huge A=\frac{1}{2}(WV+TU)(TW)$$

anonymous · Answer

got that - my question is how is tw calculated to be 6

campbell_st · Answer

A = 1/2 x height x ( sum of parallel sides)

.sam. · Answer

$$\huge TW=\frac{2A}{WV+TU}$$

anonymous · Answer

No, I understand that - wwhat I want to see is calculations.  I am not sure of how my height of this figure was 6

son's sat prep and i know that thee answer was a multiple of11 based on other numbers so thereofre - 66 had to be the area

campbell_st · Answer

use pythagoras draw a perpendicular from U to WV... call the point Z

then (TW)^2=10^2 - 8^2

TW = 6

campbell_st · Answer

TW and UZ have the same height.

anonymous · Answer

ah ha  :)  I drew that darn line and like an idiot wrote 7 - head was thinking square.

Great explanation Campbell - really appreciate that.