A rectangle has an area of 72 square feet and a lengh 8 times greater than its width. what is the perimeter of the rectangle

Step-by-step explanation:

width = x  ft

Length = 8x

Area of rectangle = 72 sq.feet

length * width = 72

8x * x = 72

8x² = 72

x² = 72/8

x² = 9 = 3²

x = 3

Width = x = 3 feet

Length = 8x = 8*3 = 24 feet

Perimeter = 2*(length + width)

               = 2*(24 + 3) = 2*27 = 54 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.