KnowledgeBoat Logo
|

Mathematics

If the width of the uniform shaded portion is x m; its area in terms of x is :

If the width of the uniform shaded portion is x m; its area in terms of x is : Quadratic Equations Problems, Concise Mathematics Solutions ICSE Class 10.

  1. 320 m2 - (16 - 2x)(20 - 2x) m2

  2. 320 m2 - (16 - x)(20 - x) m2

  3. 320 m2 - (16 - 2x)(20 - x) m2

  4. 320 m2 - (16 - x)(20 - 2x) m2

Quadratic Equations

9 Likes

Answer

From figure,

If the width of the uniform shaded portion is x m; its area in terms of x is : Quadratic Equations Problems, Concise Mathematics Solutions ICSE Class 10.

EF = 16 - x - x = (16 - 2x) meters

FG = 20 - x - x = (20 - 2x) meters

Area of shaded portion = Area of rectangle ABCD - Area of rectangle EFGH

= AB × BC - EF × FG

= 16 × 20 - (16 - 2x)(20 - 2x)

= 320 m2 - (16 - 2x)(20 - 2x) m2.

Hence, Option 1 is the correct option.

Answered By

8 Likes

Related Questions