The area of a rectangular wall of a barn is 64 square feet. its length is 8 feet longer than twice its width. find the length and width of the wall of the barn.

Length =  16 feet , width = 4 feet .

Step-by-step explanation:

Given  : The area of a rectangular wall of a barn is 64 square feet. Its length is 8 feet longer than twice its width.

To find : Find the length and width of the wall of the barn.

Solution : We have given

Area of rectangle = 64 square feet.

According to question :

Let width = W.

Length is 8 feet longer than twicw its width .

Length = 2W + 8

L = 2W + 8.

Area of rectangle = length  * width.

Plug the values.

64 = (2W +8 )W .

64 = 2W² + 8W.

On subtracting both sides by 64.

2W² + 8W- 64 = 0

On taking 2 common from all.

W² + 4 W- 32 = 0

On factoring

W² + 8W -4W - 32 = 0

W (W +8) -4 ( W + 8) = 0

On grouping

(W+8)( W -4) = 0

W = -8 feet, W = 4 feet. ( ignore negative value)

Width = 4 feet.

Length = 2 (4)+ 8.

Length = 16 feet.

Therefore, Length =  16 feet , width = 4 feet .

false

step-by-step explanation:

false.   two legs of the trapezoid would be congruent, but the other two would not.   were all the legs congruent, then we'd have a square; were the 2 shorter sides congruent and the 2 longer sides also congruent, we'd have a rectangle.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have