Question

A rectangle's length is three times its breadth x metres. Write an expression

for the rectangle's:
a) perimeter
b) area

Answer 1

1. Perimeter = 8x m

2. Area = 3x² m²

Explanation:

From the question given above, the following data were obtained:

Breadth (B) = x m

Length (L) = 3B = 3x m

Perimeter (P) =?

Area(A) =?

1. Determination of the perimeter of the rectangle.

Breadth (B) = x m

Length (L) = 3x m

Perimeter (P) =?

P = 2(L + B)

P = 2(3x + x)

P = 2(4x)

P = 8x m

Thus, the perimeter of the rectangle is 8x m

2. Determination of the area of the rectangle.

Breadth (B) = x m

Length (L) = 3x m

Area(A) =?

A = L × B

A = 3x × x

A = 3x² m²

Thus, the area of the rectangle is 3x² m²