A scale drawing of a living room is shown below. The scale is 1 : 40. A rectangle is shown. The length of the rectangle is labeled 6 inches. The width of the rectangle is labeled 4 inches.

Show your work to determine the area of the room in square feet.

  266.66 square feet

Step-by-step explanation:

Find normal size:

  L * 1/40 = 6   :   W * 1/40 = 4

       L/40 = 6   :   W/40 = 4

 40(L/40 = 6)   :   40(W/40 = 4)

        L = 240    :   W = 160

Normal length: 240 inches

 Normal width: 160 inches

Area:

  length * width = area

         240 * 160 = 38400 square inches

Convert sq. inches to sq. feet:

  1 square feet = 144 square inches

  square inches / 144 = square feet

              38400 / 144 = 266.66 square feet

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.