Question

Work out the area of a rectangle with base,
b
= 26mm and perimeter,
P
= 72mm.

Answer 1

Answer:

area = 260mm2

Step-by-step explanation:

base = 26 mm

2B + 2H = 72mm

52 + 2H = 72

2H = 72- 52

2H = 20

H = 10mm

where H = height and B = breadth

so area = 26 * 10 = 260mm2

Answer 2

Answer:

260mm^2

Step-by-step explanation:

Perimeter of rectangle = 2(length+breadth)

Let the base be the length

So, length = 26mm

Perimeter = 72mm

ATQ.

72 = 2( 26 + breadth)

=⟩ 72 = 52 + 2breadth

=⟩ 72 - 52 = 2breadth

=⟩ 20 = 2breadth

Therefore, breadth = 20 / 2

= 10mm

Knowing the length and the breadth of the rectangle, the area can be found out as follows:

Area of rectangle = length * breadth

= 26 * 10

= 260mm^2