Answer:
1. 140 sq. in.
2. 2.25 sq. in.
3. 179.75 sq. in.
4. 55 sq. in.
5. 377 sq. in. (without the entrance hole), 374.75 sq. in. (with the entrance hole)
Step-by-step explanation:
1. The area of a triangle is bh/2, or (base x height) divided by 2. Given the base, 10, and the height, 7, you can then find the answer to be 35 square inches for one triangle. Since there are four triangles, multiply 35 by 4, and your final answer is 140 square inches.
2. The entrance hole is a square, so you can multiply the two sides to get the area. In this case it is 1.5 x 1.5, so the area is 2.25.
3. To find the area of an isosceles trapezoid, the formula is (h(b1 + b2))/2. The height is 7, base 1 is 8, and base 2 is 5. Do the math and you get 45.5 square inches. There are four isosceles trapezoids, so multiply that number by 4 and you get 182. BUT REMEMBER that you cut out a space for the entrance, and that space ended up being 2.25 sq in, so subtract that from 182 and that is your final answer (179.75 sq in).
4. The base is made of four rectangles and a square, so let's find the rectangle first. The first side, 1.5, times the second side, 5. That's 7.5 sq in. Remember there are four rectangles, so multiply 7.5 times 4 (the answer is 30). Next the square. Multiply the sides (5 x 5) and since there's only one square, your answer for that is 25. Now combine the two answers together and that's the area of the material needed for the base (55 sq in).
5. Add all the values you calculated together, and that's your final answer!
Hope this helps, correct me if I was wrong on anything!
