Question

Can some one help me?

Answer 1

W = 10 cm

Explanation:

Area of a Triangle and a Rectangle

The area of a triangle of base B and height H is:

`\displaystyle A_t=(BH)/(2)`

The area of a rectangle of width W and length L is:

`A_r=WL`

We are given the base of the triangle B=6 cm and the height H=8 cm, thus the area is:

`\displaystyle A_t=(6*8)/(2)= 24\ cm^2`

The area of the rectangle is 5 times the area of the triangle, thus:

`A_r=5*24\ cm^2=120\ cm^2`

If we know the area of the rectangle and its length, we can find the width by solving for W:

`\displaystyle W=(A_r)/(L)`

The rectangle has a length of L=12 cm, thus:

`\displaystyle W=(120)/(12)=10\ cm`

W = 10 cm