Genshaiidn
Answered

Makakuha ng detalyadong mga sagot sa lahat ng iyong katanungan sa IDNStudy.com. Alamin ang mga maaasahang sagot sa iyong mga tanong mula sa aming malawak na kaalaman sa mga eksperto.

the length of a rectangle is 8 meters more than twice its width. the perimeter is 112 meters. find it's area

Sagot :

Glendzmoralesidn

Answer:

The area of the rectangle is 640 square units.

Step-by-step explanation:

First, translate the English sentence to Mathematical sentence for the length of the rectangle.

It states that the length of a rectangle is 8 meters more than twice its width, giving an equation of:

L = 8 + 2W       equation 1

Then, translate also the English statement of the perimeter to Mathematical sentence.

It states that the perimeter is 112. But the formula for a perimeter is:

P = 2L + 2W     equation 2

112 = 2L + 2W

By using Substitution method, substitute equation 1 to equation 2:

112 = 2(8 + 2W) + 2W

112 = 16 + 4W + 2W

112 = 16 + 6W

W = [tex]\frac{112-16}{6}[/tex]

W = 16

Then substitute W = 16 to equation 1, we get:

L = 8 + 2W

L = 8 + 2(16)

L = 40      

Therefore, to get the area of the rectangle, we use he formula:

A = L x W

A = 40 x 16

A = 640 sq. units

Therefore, the area of the rectangle is 640 sq. units

For additional readings about this topic, you can click from the following links:

* How to find the area of a rectangle

  https://brainly.ph/question/110308

* Anther example for finding the area of a rectangle

  https://brainly.ph/question/2004152

#LetsStudy

Salamat sa iyong presensya. Patuloy na magtanong at magbahagi ng iyong mga ideya. Ang iyong kaalaman ay mahalaga sa ating komunidad. Umaasa kami na natagpuan mo ang hinahanap mo sa IDNStudy.com. Bumalik ka para sa mas maraming solusyon!