Exercise 48 Page 402

Let's calculate the perimeter and area separately.

Perimeter

The perimeter of a figure is the sum of the side lengths. For a triangle, this is the sum of sides a, b, and c. P=a+b+cTo calculate P, we should substitute the given values a=3, b=4, and c=5 into the formula and simplify.

P=a+b+c

SubstituteIII

Substitute a= 3, b= 4, c= 5

P= 3+ 4+ 5

AddTerms

Add terms

P=12

The triangle's perimeter is 12 meters.

Area

Here we will use the formula for calculating the area of a triangle. A=1/2bh Now we substitute the value of the base, b=4, and the value of the height, h=3, into the formula to calculate A.

A=1/2bh

SubstituteII

b= 4, h= 3

A=1/2( 4)( 3)

MoveRightFacToNum

a/c* b = a* b/c

A=4/2* 3

CalcQuot

Calculate quotient

A=2* 3

Multiply

Multiply

A=6

The area of the triangle is 6m^2.