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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