Question

question 3 (2 points)
perimeter=______cm
area=______sq cm
blank 1:
blank 2:

Explanation:

Step1: Calculate the perimeter

The perimeter is the sum of all the outer - side lengths.
The outer - side lengths are \(3 + 3+4 + 4+5 + 5\).

$$3 + 3+4 + 4+5 + 5=(3 + 3)+(4 + 4)+(5 + 5)=6 + 8+10 = 24$$

Step2: Calculate the area

The figure is composed of two congruent right - angled triangles.
The area of a right - angled triangle is \(A=\frac{1}{2}\times base\times height\). For each triangle, \(base = 4\) cm and \(height = 3\) cm.
The area of one triangle is \(A_1=\frac{1}{2}\times4\times3 = 6\) \(cm^2\).
The area of the two - triangle figure is \(A = 2\times A_1\).

$$A=2\times\frac{1}{2}\times4\times3=12$$

Answer:

Blank 1: \(24\)
Blank 2: \(12\)