Answered

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Component 4: Lesson Activity
Component 4A
Annie is going to buy a television set. She is unsure as to what size she should buy. She uses
a formula to determine the correct size to suit her wall. The length of the TV is 10x +
2 units and a width of 6x + 5 units.
omponent 4B.
Q1. Write an expression for the area of the TV in simplest form.
10x + 2 and wo= 6x +5 - Formula
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Q2. Write an expression to represent the perimeter of the TV in its simplest form.
5
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Sagot :

AlthaeaOfficinalisidn

Answer:

Area of the TV: 60² + 62 + 10

Perimeter of the TV: 32 + 14

Step-by-step explanation:

Area: To find the area of the TV, we use the formula for the area of a rectangle, which is = Length x Width

Given:

Length of the TV = 10 + 2 units

Width of the TV =  6 + 5 units

Therefore, the expression for the area () of the TV is:

= (10 + 2) x (6 + 5)

To simplify this expression, you would distribute and multiply the terms:

= 10 ⋅ 6 + 10 ⋅ 5 + 2 ⋅ 6 + 2 ⋅ 5

= 60² + 50 + 12 + 10

= 60² + 62 + 10

Perimeter: The perimeter () of a rectangle is calculated using the formula = 2 x (Length + Width)

Given:

Length of the TV = 10 + 2 units

Width of the TV = 6 + 5 units

Therefore, the expression for the perimeter () of the TV is:

= 2 x ((10 + 2) + (6 + 5))

= 2 x (10 + 2 + 6 + 5)

= 2 x (16 + 7)

= 32 + 14

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