Two identical big squares A and B overlap to form a small square of area 36 square cm. The ratio of the shaded area to the unshaded area is 1 : 6. Find the length of x.
Solution
(Shaded Area) 1 unit ----- 36 square cm.
(Unshaded Area) 6 units ------ 36 square cm x 6 = 216 square cm.
Area of 1 large square is
(216 square cm divided by 2) + 36 square cm
= 144 square cm.
Length of side of large square is
144 square cm = 12 cm x 12 cm
Answer: The length of x is 12 cm.
(Shaded Area) 1 unit ----- 36 square cm.
(Unshaded Area) 6 units ------ 36 square cm x 6 = 216 square cm.
Area of 1 large square is
(216 square cm divided by 2) + 36 square cm
= 144 square cm.
Length of side of large square is
144 square cm = 12 cm x 12 cm
Answer: The length of x is 12 cm.
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