caitlynpierce8919 caitlynpierce8919
  • 11-05-2021
  • Mathematics
contestada

Rectangle A and B have the same Area. Rectangle A has a length of 7m and a width of 4m. Rectangle B has a width of 10m. What is the perimeter of Rectangle B? *

Respuesta :

Muscardinus Muscardinus
  • 14-05-2021

Answer:

P = 25.6 feet

Step-by-step explanation:

Given that,

Rectangle A and B have the same Area.

The area of a rectangle is given by :

A = lb

[tex]l_Ab_A=l_Bb_B[/tex]

We have,

[tex]l_A=7\ m, b_A=4\ m, b_B=10\ m[/tex]

So,

[tex]l_B=\dfrac{l_Ab_A}{l_B}\\\\l_B=\dfrac{7\times 4}{10}\\\\l_B=2.8\ m[/tex]

The perimeter of rectangle B,

[tex]P=2(l_B+b_B)\\\\=2(2.8+10)\\\\=25.6\ ft[/tex]

So, the perimeter of rectangle B is equal to 25.6 feet.

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