6. Here is an octagon. 3 in
4 in 3 in
→
3 in
a. While estimating the area of the octagon, Lin
reasoned that it must be less than 100 square
inches. Do you agree? Explain your reasoning.
b. Find the exact area of the octagon. Show your
reasoning.
4 in
3 in

a). Yes. Area will be less than 100 square in.

b). Area of octagon = 82 in²

Step-by-step explanation:

From the picture attached,

a). Octagon is inscribed in a square having one side = 10 inches.

Since, octagon is obtained by cutting off the four equal corners of the square,

Area of octagon will be less than the area of the square.

Area of square = (side)²

                         = 10²

                         = 100 in²

Therefore, area of octagon will be less than 100 in²

b). Since, corner cut off from the square are equal in shape and area,

   Area of one corner (right angle triangle) =

                                                                      =

                                                                      = 4.5 in²

   Area of 4 corners = 4.5 × 4 = 18 in²

   Area of octagon = Area of square - Area of 4 corners removed

                               = 100 - 18

                               = 82 in²

answer: input the dimensions of the room to be painted. click the button to calculate the amount of paint and man-hours needed for this job.

interior paint coverage depends on the brand of paint used. the coverage amount is listed on the label of the paint can. use this to adjust the values in the paint coverage section below. paint usually is applied at 350 to 400 square feet per gallon (primer at 200 to 300 square feet per gallon).

step-by-step explanation:

lol.

it's ok we all do this sometimes.

-aparri