Question

Which situation illustrates quadratic equation?

a.The length of a rectangular board is 3m longer than its width and its perimeter is 25m.
b.Joey paid at least P2,000 for the shirt and pants.The cost of pants is P700 more than the shirt.
c.A garden's length is 7m longer than its width and the area is 18 square meter.
d.A lot costbP4,000 per square meter and the area is 120 square meters.

Plsss...answer it
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Answer 1

Correct option: Option (C)

Step-by-step explanation.

Let the width of the garden is x m

Then its length is (x + 7) m

Therefore the area of the garden is

= length × width

= (x + 7) * x m²

= x² + 7x m²

By the given condition,

x² + 7x = 18

or, x² + 7x - 18 = 0

This is a quadratic equation.

Thus option (c) is correct.

Notes for other options.

Other options give linear equations.

1. Option (A) mentions of perimeter and since perimeter includes only sum of the variables, it produces a linear equation.
2. Option (B) mentions money and its algebraic operations (only addition) and thus it produces only a linear equation.
3. Option (D) includes only the division of terms and thus it produces a linear equation.

Answer 2

Answer:

C. A garden's length is m longer that is width and the area is 18 square meters.

(Just correct me if I'm wrong but I'm surely in my answer, and if you guys are little bit kind press the star please as a vote, or give me an brainliest thankyou>.<)