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Ipatiy [6.2K]
3 years ago
8

22. Find the perimeter and area.

Mathematics
1 answer:
zmey [24]3 years ago
6 0

Answer:

Part 22) The area is A=15a^3b^6\ units^2( and the perimeter is P=10a^2b^4+6ab^2\ unit

Part 24) The area is A=16m^3n\ units^2 and the perimeter is P=24mn\ units    

Part 26) The area is equal to A=9\pi x^6y^{2}\ units^2

Step-by-step explanation:

Part 22) Find the perimeter and area

step 1

The area of a rectangle is equal to

A=LW

we have

L=5(a^2)(b^4)\ units

W=3(a)(b^2)\ units

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute in the formula

A=(5(a^2)(b^4))(3(a)(b^2))

A=15a^3b^6\ units^2

step 2

The perimeter of a rectangle is equal to

P=2(L+W)

we have

L=5(a^2)(b^4)\ units

W=3(a)(b^2)\ units  

substitute in the formula

P=2(5(a^2)(b^4)+3(a)(b^2))

P=10a^2b^4+6ab^2\ unit

Part 24) Find the perimeter and area

step 1

The area of triangle is equal to

A=\frac{1}{2}bh

where

b=8mn\ units

h=4m^2\ units

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute the given values

A=\frac{1}{2}(8mn)(4m^2)

A=16m^3n\ units^2

step 2

Find the perimeter

I will assume that is an equilateral triangle (has three equal length sides)

The perimeter of an equilateral triangle is

P=3b

where

b=8mn\ units

substitute

P=3(8mn)

P=24mn\ units

Part 26) Find the area

The area of a circle is equal to

A=\pi r^{2}

where

r=3x^3y\ units

Remember the property

(a^{m})^{n}=a^{m*n}

substitute in the formula the given value

A=\pi (3x^3y)^{2}

A=9\pi x^6y^{2}\ units^2

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