Question

use appropriate formulas to find (a) the perimeter and (b) the area of the figure.
(a) the perimeter is □ mm. (type an integer or a decimal.)

Explanation:

Step1: Recall triangle - area formula

The area formula of a triangle is $A=\frac{1}{2}\times base\times height$. Here, the base is 25 mm and the height is 40 mm.
$A = \frac{1}{2}\times25\times40$

Step2: Calculate the area

$A=\frac{1}{2}\times25\times40= 500$ $mm^{2}$

Step3: Recall triangle - perimeter formula

For an isosceles triangle, the perimeter $P=a + b+ c$. Here, two sides have length 41 mm and the base has length 25 mm.
$P=41 + 41+25$

Step4: Calculate the perimeter

$P = 107$ mm

Answer:

(a) The area is 500 $mm^{2}$.
(b) The perimeter is 107 mm.