THE SEAT OF A BENCH IS IN THE SHAPE OF A TRAPEZOID WITH BASES OF 6 FEET AND 5 FEET AND A HEIGHT OF 1.5 FEET. WHAT IS THE AREA OF THE SEAT

Your formula for the area of a trapezoid is A=1/2 (base 1 + base 2) h
so, when you plug' n' chug your equation will look like this:
A= 1/2 (6 + 5) 1.5
= 1/2 (11) 1.5 (You can actually divide by 2 instead of multiplying by 1/2)
= 8.25 ft.^2
there you go.:)

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throwdolbeau throwdolbeau · Answer 2 · 2019-03-01T01:06:17-05:00

Answer:

Area of the seat = 8.25 square feet

Step-by-step explanation:

The shape of the Seat of a bench is given to be in a trapezoid.

So, in order to find the area of the seat, we apply the formula to find the area of the trapezoid.

Now, length of the parallel sides : a = 6 feet and b = 5 feet.

Height = 1.5 feet

[tex]\text{Area of the trapezium = }\frac{1}{2}(a+b)\times height\\\\\implies \text{Area of the seat = }\frac{1}{2}(5+6)\times 1.5\\\\\implies Area = \frac{1}{2}\times 11 \times 1.5\\\\\implies Area = 8.25\text{ square feet}[/tex]

Hence, Area of the seat = 8.25 square feet