Question

The question says “The image shows the front of Bob’s barn.Bob plans on painting the front of his barn,not including the doors of the barn.How many square feet of surface will Bob need to paint?

Answer 1

Bob need to paint 205 square feet.

Solution:

Length of the door = 7 ft

Breadth of the door = 5 ft

Area of the door = length × breadth

                            = 7 × 5

                            = 35

Area of the door = 35 ft²

The given image is a trapezoid.

Top base = 12 ft

Bottom base = 20 ft

Area of the trapezoid = $\frac{1}{2} \times\text{sum of the parallel sides}\times\text{height}$

                                    $=\frac{1}{2}\times(12+20)}\times15$

                                    $=\frac{1}{2}\times 32\times15$

                                    = 240

Area of the trapezoid =  240 ft²

Surface area to paint = Area of the trapezoid – Area of the door

                                    = 240 ft² – 35 ft²

                                    = 205 ft²

Hence Bob need to paint 205 square feet.