How do you find the area of a rectangular object which has a length of 5 square root of 8 inches and a width of 2 square root of 5 inches?
1 Answer
Oct 4, 2016
Explanation:
The area ( A) of a rectangle is
#color(red)(bar(ul(|color(white)(a/a)color(black)(A=lxxb)color(white)(a/a)|)))#
where l is the length and b, the width.here
#l=5sqrt8" and " b=2sqrt5#
#rArrA=5sqrt8xx2sqrt5#
#color(orange)"Reminder " color(red)(bar(ul(|color(white)(a/a)color(black)(sqrtaxxsqrtbhArrsqrt(ab))color(white)(a/a)|)))#
#rArrA=color(blue)(5)xxcolor(red)(sqrt8)xxcolor(blue)(2)xxcolor(red)(sqrt5)#
#=color(blue)(10)xxcolor(red)(sqrt40)# Now
#sqrt40=sqrt(4xx10)=sqrt4xxsqrt10=2xxsqrt10#
#rArrA=color(blue)(10)xxcolor(red)(sqrt40)=10xx2xxsqrt10#
#rArrA=20xxsqrt10=20sqrt10" square inches"#
