Question

What is the surface area of the given figure? A- 2,564 B- 2,276 C- 2,184 D- 1,160

Answer 1

Triangles=260
top rect.=1008
left rect.=360
bottom=936
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total=2,564  letter A

Answer 2

Answer:

Option A. 2564 cm²

Step-by-step explanation:

The given figure can be divided in 4 parts. Three rectangles and two right angle triangles.

Now we will calculate the area of the divided parts.

1) Area of two parallel triangles = 2(area of one triangle) = 2×(1/2)×Base×Height = Base × Height = 10×26 = 260 cm²

2) Area of a rectangle having dimensions 26 cm×36 cm = 26×36 = 936 cm²

3) Area of a rectangle having dimensions 28 cm×36 cm = 28×36 = 1008 cm²

4) Area of small rectangle having dimensions 10 cm× 36 cm = 10×36 = 360 cm²

Now total area of these four parts = 260 + 936 + 1008 + 360 = 2564 cm²

Therefore Option A is the answer.