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The area of the shaded portion is 512 ft²

Step-by-step explanation:

First we calculate the area of the full shape

Area = length × width

Length = 32 + 8 = 40 ft

Width = 8 + 8 = 16 ft

Area = 40 × 16

= 640 ft²

For the unshaded portion

Area = 8 × 8

= 64 ft²

Since we have two unshaded portions in the total shape

We add 64 + 64 = 128 ft²

Therefore the area of the shaded portion = total area of the shape - area of the unshaded portion

= 640 - 128

= 512 ft²

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.

363 square inches

step-by-step explanation:

surface area of a pyramid is b + 1/2ph

b is the area of the base: 11 x 11 = 121

p is the perimeter of the base: 11 + 11 + 11 + 11 = 44

h is the height of the pyramid: 11

121 + 1/2(44)(11)

121 + 242

363