[tex]Area = 56[/tex] square feet
Step-by-step explanation:
Here we have , the top of a display counter at a store is in the shape of a trapezoid . the lengths of the front back and with in feet of the top of the display counter . Complete question is given below , We need to find area of trapezoid with dimensions :
[tex]a = 4\\b = 12\\h = 7[/tex]
Area of trapezoid = [tex]\frac{a+b}{2} (h)[/tex]
⇒ [tex]Area = \frac{a+b}{2} (h)[/tex]
⇒ [tex]Area = \frac{4+12}{2} (7)[/tex]
⇒ [tex]Area = \frac{16}{2} (7)[/tex]
⇒ [tex]Area =8 (7)[/tex]
⇒ [tex]Area = 56[/tex]
Therefore, [tex]Area = 56[/tex] square feet.