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stiv31 [10]
4 years ago
10

Self-Check Practice Exercise 4

Mathematics
1 answer:
ryzh [129]4 years ago
5 0

Answer:

A= Congruent

B= Supplementary

C= Congruent

D= Congruent

E=Supplementary

Step-by-step explanation:

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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 o
AleksandrR [38]

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

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