What is the lateral area of the rectangular prism? Round the answer to the nearest whole number. Assume the 4 m × 8 m rectangles on the left and right are the bases. The diagram is not drawn to scale.

432 square meters

Step-by-step explanation:

The lateral area means the area that's not the bases. We have to add up all the lateral faces.

2(big rectangle area) + 2(small rectangle area) = total lateral area

2(144) + 2(72) = total lateral area

total lateral area = 432 square meters

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,