Question

. In the figure, ABCD is a rectangle AB = 8 cm, AD = 5 cm, by cutting a right angled …triangle ADQ from the rectangle and pasted it at the other end to form a quadrilateral ....ABPQ . a) What is the appropriate name of the quadrilateral ABPQ? b) What is the area of ABCD? . c) What is the area of ABPQ? . d) If AB = b cm, BC = h cm what ……will be the area of ABPQ? ​

Answer 1

Step-by-step explanation:

Given: Parallelogram ABCD and rectangle ABEF are on same base and have equal areas.

AB=CD ...opposite side of parallelogram

AB=EF ...opposite side of rectangle

and, ∠F=∠E=90

∘

AD>AF and BC>BE ....(Hypotenuse of right angle is greater than other sides )

Now,

Perimeter of □ABCD=AB+BC+CD+DA

Perimeter of □ABEF=AB+BE+EF+FA

Since, CD=EF and AD>AF,BC>BE

∴ Perimeter of parallelogram ABCD> Perimeter of rectangle ABEF