Verified answer

Answer:

The area of the rectangule is 36m².

Step-by-step explanation:

Perimeter = 2 Lenght + 2 Width

Length = L

Width = L - 5

P = 2L + 2(L - 5)

26 = 2L + 2(L - 5)

26 = 2L + 2L - 10

26 = 4L - 10

4L - 10 - 26 = 0

4L - 36 = 0

4L = 36

.

L = 9

Length = 9m

Width = L - 5 = 9 - 5 = 4m

P = 2L + 2W

26 = 2 (9) + 2 (4)

26 = 18 + 8

26 = 26 ✔

Area = Length × Width

A = 9 × 4

A = 36

Therefore, the area of the rectangle is 36m².