If W = 5 units, X = 10 units, Y = 9 units, and Z = 7 units, what is the surface area of the right rectangular pyramid shown above?

165unit^2

Step-by-step explanation:

If W = 5 units, X = 10 units, Y = 9 units, and Z = 7 units

We group for triangles =

X * Z/2 = Triangle 1  as shown on 2nd step.

W * Y/2 = Triangle 2 as shown on 3rd step.

We have 4 triangles that come off the base and meet at a point.

Step 1

Solve for base W x X =  length x width = 10 x 5 = 50unit^2

Step 2

Triangle 1 = b x h / 2 (length of base x h /2) = (10 x 7)/2 = 35unit^2

Congruent for back triangle also is 35unit^2

Step 3

Triangle 2 = b x h / 2 (length of base x h /2 ) = (5 x 9)/2 = 22.5unit^2

Congruent for side triangle left so right also is 22.5 unit^2

Step 4

is add them together

50+35+35+22.5+22.5  = 165unit^2