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Sindrei [870]
3 years ago
11

What is the base of the trapezoid with an area of 150 a height of 10 and a base of 14?

Mathematics
2 answers:
slavikrds [6]3 years ago
3 0
The formula for the area of a trapezoid is:

A= (a+b)/2*h

A=150
h=10
b=14
a=?

So we need to solve for a. Let's plug in the values that we do know...

A= (a+b)/2*h
150=(a+14)/2*10
150=(a/2+14/2)*10
150=(a/2+7)*10
Divide both sides by 10
15=a/2+7
subtract 7 from both sides
8=a/2
multiply both sides by 2
16=a

The other base is 16
DiKsa [7]3 years ago
3 0
A<span> is the area of a trapezoid
a and b are the lengths of its two bases
h is the height 
Let x be the shorter base.
Then the longer base is x+2 
Substituting the following into the formula
a = x

b = x+2
A = 150
h = 10
we have 

Solving for x, we have
So the shorter one is 14 meters long, the longer one is 16 meters long
I hope i helped you :-0

</span>
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Step-by-step explanation:

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Solve. 2and 3/4+x+3 and 1/2 =10
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3 0
3 years ago
What is the area, in square feet, of the trapezoid below?
PtichkaEL [24]

Answer:  " 94. 6  ft² ".
_____________________

<u>Step-by-step explanation</u>:

The formula for the area of a trapezoid:
______________________
A = (1/2) * (b1 + b2) * (perpendicular height, "h" ) ;

      in which:
______________________
 "A = area (in units of ft²) "

 "b1 = length of (base one) = 7.7 ft (from diagram) ;  

 "b2 = length of (base two—the other base) = 14.3 ft. ;
 "h = height (perpendicular) = 8.6 ft.
_______________________

To solve for the Area, "A" ; we plug in the known values:
_______________________
A = (1/2) * (b1 + b2) * (perpendicular height, "h" );

   =  (1/2) * (7.7 ft + 14.3 ft) * (8.6 ft) ;

  = (1/2) * (22 ft.) * (8.6 ft) ;

  = (11 ft.) * (8.6 ft.) ;

   = (11) * (8.6) * (ft.) * (ft.) ;

   = (11) * (8.6) * ft² ;

A  =   " 94. 6  ft² ".

_______________________
Hope this is helpful to you!
  Best wishes!
________________________

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