Answer:
A. Area of ABCD = 240 [tex]cm^{2}[/tex]
B. 60 cm
C. 36 cm
D. 50 cm
Step-by-step explanation:
Given: AB = 24cm BC = 10cm and AE = 13cm.
A. Since a rectangle is a 2 dimensional figure, it has no volume but area.
So that,
the area of the rectangle ABCD = length x width
= 24 x 10
= 240 [tex]cm^{2}[/tex]
B. To calculate the circumference of the BCD triangle, apply the Pythagoras theorem to determine BD.
[tex]BD^{2}[/tex] = [tex]BC^{2}[/tex] + [tex]DC^{2}[/tex]
= [tex]10^{2}[/tex] + [tex]24^{2}[/tex]
= 676
BD = [tex]\sqrt{676}[/tex]
= 26
BD = 26 cm
so that,
the circumference of BCD = 10 + 24 + 26
= 60 cm
C. To calculate the circumference of the BEC triangle,
AC = 26 cm, AE = 13 cm
CE = 26 - 13
= 13 cm
CE = 13 cm
The circumference of the BEC triangle = 13 + 13 + 10
= 36 cm
D. The circumference of the DEC triangle = 13 + 13 + 24
= 50 cm
