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
