Answer:
225 ft
Step-by-step explanation:
The area of a trapezoid can be found from the formula ...
A = (1/2)(b1 +b2)h
We can fill in the given information and solve for h. (All linear dimensions in ft; area in ft².)
90,000 = (1/2)(500 + 300)h
90,000/400 = h = 225
The distance between streets is 225 feet.
Answer: The streets are 225 feet apart.
Step-by-step explanation:
Since we have given that
Length of frontage on one street = 500 feet
Length of frontage on other street = 300 feet
Area of this figure = 90000 sq. feet
Let the distance between the street be 'h'.
Since it forms trapezium:
So, Area of trapezium would be
[tex]90000=\dfrac{1}{2}\times h\times (a+b)\\\\90000=\dfrac{1}{2}\times h\times (500+300)\\\\90000\times 2=800\times h\\\\180000=800\times h\\\\h=\dfrac{180000}{800}\\\\h=225\ ft[/tex]
Hence, the streets are 225 feet apart.
