Discussion





The perimeter of a general trapezoid is simply the sum of the 4 sides.













Solution





You are given expressions for the 4 sides:











And you are given the perimeter, 





Although the problem doesn't state, you must assume that the constant values

in the expressions for three of the sides are in feet since the perimeter is

given in feet.  Without this assumption, the problem cannot be solved as

stated.



Combining the given information into the formula for the perimeter we have:







Combining like terms we have:







Add -375 to both sides:







And divide by 4:











Check Answer















and

: Answer checks.





 

RELATED QUESTIONS

a work bench is in the shape of a trapezoid if the perimeter of the workbench is 260 cm... (answered by Alan3354)

Trapezoid pqrs and trapezoid wxyz shown below are similar. What is the perimeter of... (answered by KMST)

The area of your isosceles trapezoid shown is 84in.2.What is its perimeter? Express your... (answered by Simnepi)

A Norman window has the shape of a rectangle surmounted by a semicircle, as shown in the... (answered by josgarithmetic,ikleyn)

Please help with this problem the text book do not show clearly how to do it

Rose' s... (answered by stanbon)

a rectangular field is twice as long as it is wide. If the perimeter of th field is 72... (answered by checkley77)

Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid
is 16 m,... (answered by Nate)

Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid
is 16 m,... (answered by uma)

Rose’s garden is in the shape of a trapezoid. If the height of the trapezoid
is 16 m,... (answered by checkley71,joyofmath)