Question

The figure has an area of 42 yd? Which equation can be

used to find the value of x?
A 13x + 1 = 42
B 14x = 42
C 15x -1 = 42
D 16x=42

Answer 1

B. 14x = 42

Explanation:

The figure is composed of a rectangle and a trapezium

(L*W) + [½(a + b)h] = Area of the figure

Where,

Area = 42

L = 2x

W = 3

a = 3 + 4 = 7

b = 9

h = x

Plug in the values

(2x*3) + [½(7 + 9)x] = 42

6x + [½(16x)] = 42

6x + 8x = 42

14x = 42