the combined areas of two squares is 20cm². each square of one square is twice as long as a side of the other square. find the following
Answers
Answer:
lenth of larger square is 4cm and smaller square is 2 cm
Step-by-step explanation:
let side of smaller square = x cm
then the side of larger square = y cm
As per the question
x²=y
x²-y=0 . equation 1
and x²+y²=20 cm² equation 2
subtracting equation 1 from 2
y² - y = 20
y² - y - 20 = 0
Using middle term splitting method
y²+5y-4y-20=0
y(y+5) -4(y+5) = 0
(y-4)(y+5)=0
if y-4=0 if y+5=0
y=4 y=-5
since length can not be in negative
length of larger square is 4 cm and area is 16 cm²
length of smaller square is x²=y
since y=4
x²=4
x=√4
x=2cm