Arthur and Austin have triangular gardens in front of their houses, as shown below.
http://go.flvs.net/courses/1/flvs_57_3641_12676/ppg/respondus/pool_Geom_3641_0709_07/image0034e611ba9.jpg
If the garden in front of Arthur’s house has an area of 200 square feet, what is the width x of the garden in front of Austin’s house?
Answer

8 ft

9 ft

16 ft

20 ft

Question

Arthur and Austin have triangular gardens in front of their houses, as shown below.
http://go.flvs.net/courses/1/flvs_57_3641_12676/ppg/respondus/pool_Geom_3641_0709_07/image0034e611ba9.jpg
 If the garden in front of Arthur’s house has an area of 200 square feet, what is the width x of the garden in front of Austin’s house?
Answer
		
8 ft
		
9 ft
		
16 ft
		
20 ft

anonymous · Answer

im confused if bothe triangles are congruent then the area of both is 200 and since the area formula for a triangle is  A=BH. i thought the answer would be 4 because 50x4= 200 but 4 isn't one of my options. my next choice would be to just go with the closest answer '8' but i still need some explaining on what im doing wrong please help