Mr. Suárez wants to paint his storage shed. He needs to calculate the lateral surface area of the shed so that he will know how much paint to buy. The shed is in the shape of a rectangular prism with the dimensions shown below. Including the doors, what is the lateral surface area of the storage shed in square feet? 784 ft2 266 ft2 532 ft2 336 ft2

Lateral surface area of the storage shed = 336 ft²

Step-by-step explanation:

The picture is the complete question.

The shed is in the shape of a rectangular prism. The lateral surface area of the storage shed can be calculated below. The lateral area is the sides of the prism.

lateral area of a rectangular prism = 2h (l + w)

where

l = length

h = height

w = width

h = 8 ft

l = 14 ft

w = 7 ft

lateral area of a rectangular prism = 2h (l + w)

lateral area of a rectangular prism = 2 × 8 × (14 + 7)

lateral area of a rectangular prism = 16 (21)

lateral area of a rectangular prism = 336 ft²

Lateral surface area of the storage shed = 336 ft²

The length of the smaller angle is 80°. Longer angle = 100°

Step-by-step explanation:

Ratio of two  adjacent angles = 4:5

Let the two angles be 4x and 5x.

Property of adjacent angles -

Two adjacent angles are supplementary.

Any two pair of adjacent will sum up to 180°.

Going by the property we get the equation -

we got the value of x =20

Getting the angles 4x and 5x

 ⇒ 100 °

⇒ 80 °

The length of the smaller angle is 80 °. and Longer angle = 100°