Question

Arthur and Austin have triangular gardens in front of their houses, as shown below.

f the garden in front of Arthur’s house has an area of 1400 square feet, what is the width x of the garden in front of Austin’s house?
10 ft

20 ft

40 ft

30 ft

Answer 1

@christinacoe72 both the triangles are equal. So what's the formula for area of triangle in terms of height and base

Answer 2

base times height times 1/2

Answer 3

Here base=70, we need to find width (or height of triangle) and area is given as 1400
\[1400=\frac{1}{2} \times 70 \times width\]
Can you find the width now?

Answer 4

40

Answer 5

divide 1400 by .5 you get 2800
then divided 2800 by 70 you get 40