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Citrus2011 [14]
3 years ago
9

The area of a rectangular flower bed is 24 square feet. The perimeter of the same flower bed is 22 feet. What are the dimensions

of the flower bed? A. 2 ft by 12 ft B. 3 ft by 8 ft C. 3 ft by 6 ft D. 4 ft by 6 ft
Mathematics
2 answers:
zhannawk [14.2K]3 years ago
5 0

Answer:

The correct answer is option B.  3 ft  by 8 ft

Step-by-step explanation:

<u>Points to remember</u>

Area of rectangle = length * breadth

Perimeter of rectangle = 2(Length + Breadth)

It is given that, The area of a rectangular flower bed is 24 square feet. The perimeter of the same flower bed is 22 feet

<u>To find the correct option</u>

<u>1). Check option A</u>

Area = 2 * 12 = 24

Perimeter = 2( 2 + 12 ) = 28

False

<u>2) Check option B</u>

Area = 3 * 8 = 24

Perimeter = 2(3  + 8 ) = 22

True

<u>3). Check option C</u>

Area = 3 * 6 = 18

Perimeter = 2( 3 + 6 ) = 18

False

<u>4). Check option D</u>

Area = 4 * 6 = 24

Perimeter = 2( 4 +6 ) = 20

False

The correct answer is option B.  3 ft  by 8 ft

Ray Of Light [21]3 years ago
3 0

ANSWER

B. 3 ft by 8 ft

EXPLANATION

The area is given as 24 square feet.

This implies that,

l \times w = 24

The perimeter of the rectangular field is given as 22 feet.

This implies that,

2(l + w) = 22

Or

l + w = 11

We make w the subject in this last equation and put it inside the first equation.

w = 11 - l

When we substitute into the first equation we get;

l(11 - l) = 24

11l -  {l}^{2}  = 24

This implies that,

{l}^{2}  - 11l + 24 = 0

(l - 3)(l - 8) = 24

l = 3 \: or \: 8

When l=3, w=24

Therefore the dimension is 3 ft by 8 ft

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