Question

The area of the parallelogram is 4 times the area of the triangle.

The perpendicular height of the parallelogram is h cm.
Find the value of h.
*HOMEWORK QUESTION*

Answer 1

h = 13 cm

Explanation:

the area (A) of a triangle is calculated as

A =
`(1)/(2)` bh ( b is the base and h the perpendicular height )

here b = 6 and h = 13 , then

A =
`(1)/(2)` × 6 × 13 = 3 × 13 = 39 cm²

Then the area (A) of the parallelogram = 4 × 39 = 156 cm²

the area (A) of the parallelogram is calculated as

A = bh ( b is the base and h the height )

here b = 12 , then

12h = 156 ( divide both sides by 12 )

h = 13

Answer 2

13

Explanation:

Area of triangle = 0.5 × base × height

= 0.5 × 6 × 13

= 39

Area of parallelogram = 4 × Area of triangle

Note - Area of parallelogram = base × perpendicular height

Hence,

Base × perpendicular height = 4 × 39

12 × H = 156

H = 156 ÷ 12

= 13

Answer = 13