Learning Task 2. A. Translate the following verbal sentences to mathematical sentence. Then ex-
press into quadratic equations in terms of "x".
Given
Quadratic Equations
1. The length of a wooden frame is 1 foot
longer than its width and its area is equal
to 12 ft2
2. The length of the floor is 8 m longer than
its width and there is 20 square meters.
3. The length of a plywood is 0.9 m more
than its width and its area is 0.36 m2.
4. The area of rectangle whose length is six
less than twice its width is thirty-six,
5. The width of a rectangular plot is 5 m
less than its length and its area is 84 m2.☹️

1)

2)

3)

4)

5)

Step-by-step explanation:

1) The length of a wooden frame is 1 foot  longer than its width and its area is equal  to 12 sq. ft.

Let the width be x

We are given that length of a wooden frame is 1 foot  longer than its width

So, Length = x+1

Area of rectangular frame =

ATQ

x(x+1)=12

2)The length of the floor is 8 m longer than  its width and there is 20 square meters.

Let the width be x

We are given that length of the floor is 8 m longer than  its width

So, Length = x+8

Area of floor=

ATQ

x(x+8)=20

3)The length of a plywood is 0.9 m more  than its width and its area is 0.36 m2.

Let the width be x

We are given that length of a plywood is 0.9 m more  than its width

So, Length = x+0.9

Area of plywood=

ATQ

x(x+0.9)=0.36

4)The area of rectangle whose length is six  less than twice its width is thirty-six

Let the width be x

We are given that length is six  less than twice its width

So, Length = 2x-6

Area of rectangle = Length \times Breadth = x(2x-6)

ATQ

x(2x-6)=36

5)The width of a rectangular plot is 5 m  less than its length and its area is 84 m2.

Let the length be x

Width = x-5

Area =

ATQ

x(x-5)=84