Question

Calculate answer a and c for this question​

Answer 1

see explanation

Explanation:

The area (A) of the whole sign is calculated as

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

Here b = 40 and h = 35, thus

A = 0.5 × 40 × 35 = 20 × 35 = 700 cm²

The area of the inner triangle is calculate as

A = 0.5 × 32 × 28 = 16 × 28 = 448 cm²

The area of the border is the difference between the whole sign and the inner triangle, that is

area of border = 700 - 44 8 = 252 cm²

Answer 2

Explanation:

a) Area of whole sign = 1/2 * base *height

`=(1)/(2)*40*35\\\\=20*35\\\\=700 cm^(2)`

b) Area of the inner triangle

`=(1)/(2)*32*28\\\\=16*28\\\\= 448cm^(2)`

c) Area of the border = Area of whole sign - area of the inner triangle

= 700 - 448

= 252 cm²