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

ANSWER

B. 3 ft by 8 ft

EXPLANATION

The area is given as 24 square feet.

This implies that,

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

This implies that,

Or

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

When we substitute into the first equation we get;

This implies that,

When l=3, w=24

Therefore the dimension is 3 ft by 8 ft

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

Step-by-step explanation:

Points to remember

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

To find the correct option

1). Check option A

Area = 2 * 12 = 24

Perimeter = 2( 2 + 12 ) = 28

False

2) Check option B

Area = 3 * 8 = 24

Perimeter = 2(3  + 8 ) = 22

True

3). Check option C

Area = 3 * 6 = 18

Perimeter = 2( 3 + 6 ) = 18

False

4). Check option D

Area = 4 * 6 = 24

Perimeter = 2( 4 +6 ) = 20

False

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

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.