Notice that
(1 + <em>x</em>)(1 + <em>y</em>) = 1 + <em>x</em> + <em>y</em> + <em>x y</em>
So we can add 1 to both sides of both equations, and we use the property above to get
<em>a</em> + <em>b</em> + <em>a b</em> = 76 ==> (1 + <em>a</em>)(1 + <em>b</em>) = 77
and
<em>c</em> + <em>d</em> + <em>c d</em> = 54 ==> (1 + <em>c</em>)(1 + <em>d</em>) = 55
Now, 77 = 7*11 and 55 = 5*11, so we get
<em>a</em> + 1 = 7 ==> <em>a</em> = 6
<em>b</em> + 1 = 11 ==> <em>b</em> = 10
(or the other way around, since the given relations are symmetric)
and
<em>c</em> + 1 = 5 ==> <em>c</em> = 4
<em>d</em> + 1 = 11 ==> <em>d</em> = 10
Now substitute these values into the desired quantity:
(<em>a</em> + <em>b</em> + <em>c</em> + <em>d</em>) <em>a</em> <em>b</em> <em>c</em> <em>d</em> = 72,000
You need to find the total miles he traveled then multiply it by 3.
New York --> Chicago is 714 miles,
Chicago --> Washington is 596 miles,
Washington --> New York is 205 miles.
so total he traveled 1,515 miles.
1,515 x 3 = 4,545.
So D would be your answer (:
Answer:
31
Step-by-step explanation:
Increases by 7 each time
Given area of square field =0.25 hectare
1 hectare =10,000m =0.25×10,000 =0.25×100 =2500 sq. m
Let side of square be 'a'
Area of square =a 2 a 2 =2500 ⇒a=50m
Diagonal of square = 2 a= 2 ×50=50 2 m.
