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Jem Boy wants to make his 8-meter square pool into a rectangular one by increasing its length by 2 meters and decreasing its width by 2 meters. Jem Boy asked your expertise to help him decide on certain matters.

a. What will be the new dimensions of Jem Boy's pool ?
b. What will be the new area of Jem Boy's pool? What special product will be used?
c. If the sides of the square pool is unknown, how will you represent its area?
d. If Jem Boy does not want the area of his pool to decrease, will he pursue his plan? Explain your answer.

Sagot :

misspancitcanton

Answer:

a. What will be the new dimensions of Jem Boy's pool?

The new dimensions of Jem Boy's pool is 10 m by 6 m.

Length = 10 m , Width = 6 m

Solution:

Length - increasing its by 2 meters

8 m + 2 m = 10 m

Width - decreasing its by 2 meters

8 m - 2 m = 6 m

b. What will the new area of Jem Boy's pool? What special product will be used?

The new area of Jem Boy's pool is 60 m².

(8 m + 2 m)(8 m - 2 m)

Solution:

To find the area of a rectangle, we have the formula, length times width.

Area = l × w

= (8 m + 2 m)(8 m - 2 m)

= 10 m(6 m)

= 60 m²

c. If the sides of the square pool is unknown, how will you represent its area?

Let x be the side of the square pool.

Area = (x + 2 m)(x - 2 m)

d. If Jem Boy does not want the area of his pool to decrease, will he pursue his plan?

NO.

Jem Boy should not pursue his plan because the area of the rectangular pool is smaller than the area of the square pool by 4 m².

For examples of word problems involving area of rectangle, visit the links:

https://brainly.ph/question/2004152

https://brainly.ph/question/2372241

Area of square:

https://brainly.ph/question/2008204

https://brainly.ph/question/2740046

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