If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure?

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The surface area of the figure is equal to the surface area of a square prism without the top plus the surface area of a square pyramid without the base

so

Find the slant height (l) of pyramid

Applying the Pythagorean Theorem

substitute the given values

Find the surface area

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.