Question

in a figure given below quadrilateral ABCD is a square of side 50 M. P Q R S are midpoints of sides ab and side BC sideCD and side AD respectively find the area of shaded region​

Answer 1

Answer:

$1875\pi \: m {}^{2}$

Answer 2

in a figure given below quadrilateral ABCD is a square of side 50 M. P Q R S are midpoints of sides ab and side BC side CD and side AD respectively

Area of shaded portion = Area of square ABCD - Area of square PQRS

Given,

AB = BC = CD = DA = 50 M

AP = AS = AB/2 = 50/2 =25 M

PS² = AP² + AS²

= 25² + 25²

PS² = 1250

PS = 35.35 M

PS = SR = RQ = QP = 35.35 M

Area of square = a²  (a = side of the square)

Area of shaded portion = AB² - PS²

= 50² - 2 (25²)

= 2500 - 1250

= 1250 M²