Jada drew a net for a polyhedron and calculated its surface area. She made some mistakes in her area calculation. Which calculation is incorrect?

For 14 points

The calculation of the area of the triangle is incorrect

Step-by-step explanation:

To find the surface are of the net for the polyhedron, each area of the net will be calculated. There are 2 rectangles, 1 square, and 2 triangles that made up the net of the polyhedron.

To find out which calculation is incorrect, let's do our own calculation and compare with what Jada has:

Area of rectangle = lenght * width

Area of rectangle with lenght: 5 cm, width: 4cm

Area = 5*4 = 20 cm²

Area of square with side: 4 cm,

Area = 4² = 16 cm²

Area of rectangle with lenght: 4 cm, width: 3cm

The 2 triangles have the same dimensions:

Height = 3 cm

Base = 4 cm

Area of triangle = ½*base*height

Area of each triangle = ½*4*3 = 2*3 = 6 cm²

This is different from what Jada calculated. Jada's calculation for the area of each of the triangles is incorrect. The area should be 6 cm² not 12 cm².

Surface area of the net = 20 + 16 + 12 + 2(6) = 60 cm²

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

don't report but were is the digram

step-by-step explanation: