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O LESSONS 31-33
The rectangle shown below has length of 4x + 3 and a width of 5x.
Find expressions of its perimeter and area.
Lesson 31
4x + 3
5x​

Respuesta :

Answer:

perimeter= 2(4x+3) + 2(5x)

Area= (4x+3)(5x)

Step-by-step explanation:

Perimeter is the sum of total length and width. Perimeter is the outside. Like a fence.

A rectangle has two equal lengths and two equal widths.

If the length is 4x + 3, we have two of those. (4x + 3) + (4x + 3)

Which can be simplified as 2(4x+3)

If the width is 5x, we have two of those.

5x + 5x

Which can be simplified as 2(5x)

So length + length + width + width=

(4x+3) + (4x+3) + (5x) + (5x)

Simplified as

2(4x+3) + 2(5x)

Area is length multiplied by width. Area is the inside. Like the property inside the fence.

Length: 4x + 3 Multiplied by width: 5x

(4x+3) × (5x)

Properly written as (4x+3)(5x)