Question

A triangle is of equal area to a rectangle that measures 16cm by 12cm. If the attitude that triangle is 8cm, find the base?

Answer 1

Answer:

12cm

Step-by-step explanation:

Area of the rectangle = 16cm × 12cm = 192cm².

Area of a triangle = (base × height) / 2.

Let the base of our triangle be x cm. So we have (x • 8cm) / 2 = 192cm². Solving for x we will find -

(x • 8cm) / 2 = 192cm²

→ (x • 8cm) = 192cm² / 2 = 96cm².

→ x = 96cm²/8cm = 12cm.

Hope that helps, good luck learning!

Answer 2

Given :

• Length of Rectangle, l = 16 cm
• Breadth of Rectangle, b = 12 cm
• Altitude of Triangle = 8 cm

To find :

• Base of triangle?

Solution :

We know that,

Area of Rectangle = Length × Breadth

Here,

• l = 16 cm
• b = 12 cm

Therefore,

Area of Rectangle = 16 × 12 = 192 cm²

★ According to the Question:

• Area of Rectangle = Area of triangle

☯ Let Base of triangle be x cm.

Therefore,

Area of triangle = ½ × b × h

Here,

• Area = 192 cm²
• Height = 8 cm

So,

⇒½ × x × 8 = 192

⇒ 4x = 192

⇒ x = 48 cm

Hence, Base of triangle is 48 cm.