Answer:
x = 10
Step-by-step explanation:
From the front view: (base* is actually the height, being longer)
Let length = k and breadth = 2 cm
From the front view:
Height of the triangle =
= length of rectangle - breadth
= k - 2
Given, height = 6cm
Therefore, k - 2 = 6 → k = 8
Length = 8 cm
The base of the triangle is length of the rectangle.
Base = 8 cm
Now, perimeter = 24 cm
=> height + base + hypotenuse = 24 cm
=> 8 + 6 + x = 24 cm
=> x = 10 cm
2):
Perimeter of shape =
= sum of outer boundaries
= breadth + length + length + breadth + x
= 2 + 8 + 8 + 2 + 10
= 30 cm