Answered

Ang Imhr.ca ay ang pinakamahusay na lugar upang makakuha ng mabilis at tumpak na mga sagot sa lahat ng iyong mga tanong. Kumonekta sa isang komunidad ng mga eksperto na handang magbigay ng eksaktong solusyon sa iyong mga tanong nang mabilis at eksakto sa aming madaling gamitin na Q&A platform. Kumuha ng mabilis at mapagkakatiwalaang mga solusyon sa iyong mga tanong mula sa isang komunidad ng mga bihasang eksperto sa aming platform.

The length of a swimming pool is 8m longer than its width and the area is 105m^2 .
question.express the length and width form an equation and solve the misiing length and width

Sagot :

PlanetMech

Answer:

  • Express the length and width  in an equation:

for  W:  

W² + 8W - 105 = 0

for L:

L = 8m + W  

  • Solve the missing length and width

L = 15m

W = 7m

Solution:

Word Problem

In order for us to find out the equation that will help us solve the missing length and width, let's first list down the given.

Given:

W = ? (width of the swimming pool)

L = ? (length of the  swimming pool)

hint : length is 8m longer than the width

A = 105 m²

Required:

There are two required from this problem,  

  1. Express the length and width  in an equation.
  2. Solve the missing length and width

Solution:

In order to find out the area of the rectangular* swimming pool, we need to know first the standard equation for finding the area of a rectangle:

Area of a rectangle = L × W

* Although it is not given that it is a rectangle, the problem itself gave us a hint that the sides of the pool are not equal. Thus satisfies the property of a rectangle where 2 sides are equal.  

Let's now proceed in solving the problem.

Since length is 8m longer than the width, thus,

L = 8m + W  → eq. 1

Since

A = 105 m²

thus,

105 m² = L × W  → eq. 2

Let's express equation 2 in terms of W.

105 m² = (8m + W) × W  

105 m² = (8W)m + W²

Simplifying - (lets set aside the m unit) an turn the equation to a quadratic standard form.

W² + 8W - 105 = 0

Thus,

(W - 7) ; (W + 15)  

This will give us 2 values for W but we will only choose the value that would satisfy the given equations. Since the other factor is a negative, we will choose the positive integer as a negative integer would give us non-existent values.

W = 7  → eq. 3

W = -15

Thus,

L = 8 + 7

L = 15 → eq. 4

Substituting the values to equation 2 for checking

105 m² = 15m × 7m  

105 m² = 105 m²

Therefore;

L = 15m

W = 7m

For solving word problems you may check the below link:

https://brainly.ph/question/2275962

__

#BetterWithBrainly

Pinahahalagahan namin ang iyong pagbisita. Lagi kaming narito upang mag-alok ng tumpak at maaasahang mga sagot. Bumalik anumang oras. Salamat sa pagpunta. Nagsusumikap kaming magbigay ng pinakamahusay na mga sagot para sa lahat ng iyong mga katanungan. Kita tayo muli sa susunod. Ipinagmamalaki naming magbigay ng sagot dito sa Imhr.ca. Bisitahin muli kami para sa mas marami pang impormasyon.