Question

4. In the following figure BCDE is a square . <A = 450

, AE = 10cm,

(a) Find the length of one side of the square

(b) Find the area of the square

(c)What is the perimeter of the square​

Answer 1

Step-by-step explanation:

a)sinA=opp/hyp

sin45°=BE/10

1/√2=BE/10

BE=10/√2

BE=5×2/√2

BE=5×√2×√2/√2

BE=5√2

the length of one side of square is 5√2.

b)the area of square is L×B

=5√2×5√2

=25×2

=50

area of square is 50.

c)the perimeter of square is 2(L+B)

=2(5√2+5√2)

=2(10√2)

=20√2

the perimeter of square is 20√2