Question

20 POINTS WILL GIVE BRAINLIEST

Answer 1

Answer:

Step-by-step explanation:

The increased width would be 10 m + x; the increased length 13 m + x.

The area would then be (10 + x)(13 + x) = 208 ft²

Performing the multiplication, we get:

130 + 10x + 13x + x² = 208 ft², or

(x² + 23x + 130) ft² = 208 ft²

or:

x² + 23x - 78 = 0

Using the quadratic formula to find x, we get:

      -23 ± √( 23² - 4[1][-78] )

x = ------------------------------------

                        2

or:

      -23 ± √( 23² - 4[1][-78] )          -23±√841          -23 ± 29

x = ------------------------------------  =  -----------------  = ------------------

                        2                                    2                      2

x = 3 or x = (a negative number)

The dimensions of the enlarged garden would be

width:  10 + 3, or 13; length:  13 + 3 = 16

or  13 ft by 16 ft            Note:  13*16 = 208, as stipulated above