What is the area of a quadrilateral with a perimeter of 24 square centimeters?
Stmt (1) : The quadrilateral is formed by combining two isosceles right triangles
if both the triangles have same sides say
(1,1,2) &
(1,1,2) then it can be a rectangle.
but if one triangle is
(1,1,2) & (2, 2, 2\(\sqrt{2}\)) , then we can make one diagonal as 2 (2 as common side) and make a quadrilateral.
two different shapes
Not sufficientStmt (2) : All angles are of equal measure and the width of the quadrilateral is 25% of the length
let angle of quadrilateral = a , then 4a = 360 , a = 90 (square or rectangle) , but length/width is mentioned so rectangle
now if length = x ; width = 25% of length = x/4
x + 0.25x = 24 ; can find length/width & area
sufficientAns
B
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