Question

In rectangle ABCD with side AD = 6 cm, point M is the midpoint of side

CD
and m∠AMB= 90°. Find the perimeter of the rectangle.

Answer 1

36

Explanation:

the triangle that is formed by AMB is a 45 45 90 triangle, so meaning the legs are equal. so in can be concluded that AD = MD, since M is the midpoint of CD, then CD = 2AD

CD = 2(6) = 12 cm

so the perimeter is of the rectangle ABCD is

P = 2l + 2w

P = 2(6) + 2(12)

P = 12 + 24

P=36

Answer 2

the triangle that is formed by AMB is a 45 45 90 triangle, so meaning the legs are equal. so in can be concluded that AD = MD, since M is the midpoint of CD, then CD = 2AD
CD = 2(6) = 12 cm

so the perimeter is of the rectangle ABCD is
P = 2l + 2w
P = 2(6) + 2(12)
P = 12 + 24
P = 26 cm