A rectangle's perimeter and its area have the same numerical value. The length of the rectangle is 6 centimeters. Write an equation that can be used to find x, the width of…

Question

asked Apr 12, 2024 25.3k views

2 Answers

Soniccool · Answer 1 · 2024-04-14T22:13:21+0000

Answer:

A rectangle's perimeter and its area have

the same numerical value. The length of the

rectangle is 6 centimeters.

Write an equation that can be used to find x, the

width of the rectangle in centimete

Explanation:

Kinlan · Answer 2 · 2024-04-15T13:22:29+0000

Answer :

According to the question it's given that,

A rectangle's perimeter and its area have the same numerical value. The length of the rectangle is 6 centimeters.

Required Formulas,

$:\implies$ perimeter of rectangle is 2(l+ b)

$:\implies$ Area of rectangle = l × b

Also, Length of rectangle is 6 cm.

Perimeter of rectangle

$:\implies$ 2(6 + x)

$:\implies$ 12 + 2x

Area of rectangle

$:\implies$ l × b

$:\implies$ 6 × x

$:\implies$ 6x

Now, A rectangle's perimeter and its area have the same numerical value.

Perimeter of rectangle = Area of rectangle

$:\implies$ 12 + 2x = 6x (required equation)

Therefore this is the required equation to find the width of the rectangle.