A rectangular section of wilderness will be set aside as a new wildlife refuge. ...

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September 2022 1 6 Report

A rectangular section of wilderness will be set aside as a new wildlife refuge. Its dimensions are 5x105 meters by 4x104 meters. Find the area and the perimeter of the land

a. Area

b. Perimeter

pa answer ng maayos please need kona now.

Answers & Comments

MrFahrenheit

Verified answer

OPERATIONS OF SCIENTIFIC NOTATION INVOLVING AREA AND PERIMETER OF A RECTANGLE

Question:

A rectangular section of wilderness will be set aside as a new wildlife refuge. Its dimensions are $5x10^{5}$ meters by $4x10^{4}$ meters. Find the area and the perimeter of the land.

Answers with Step-by-step explanation:

In order to solve for the area of the land, we can use the formula:

$A=LW$

where:

A refers to the area of the rectangle
L refers to the length of the rectangle
W refers to the width of the rectangle

In the given word problem, the area of the rectangle is unknown, the length of the rectangle is $5x10^{5}$ meters and its width is $4x10^{4}$ meters.

By direct substitution:

$A=LW\\A=(5x10^5)(4x10^4)\\A = 20x10^9\\A = 2x10^{10}$ sq. meters

Therefore, the area of the rectangular section of wilderness is $2x10^{10$ sq. meters.

On the other hand, to solve for the perimeter, we can also use the formula:

$P = 2(L+W)$

By direct substitution:

$P=2[(5x10^5)+(4x10^4)]\\P=2[(50x10^4)+(4x10^4)]\\P=2(54x10^4)\\P = 108x10^4\\P = 1.08x10^6$ meters

Therefore, the perimeter of the rectangular section of wilderness is $1.08x10^6$ meters.

Read more about the area of a square:

brainly.ph/question/3596201

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OPERATIONS OF SCIENTIFIC NOTATION INVOLVING AREA AND PERIMETER OF A RECTANGLE

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