Question

The diagonal of a rectangular board is 1 m and its length is 96 cm. Find the area of the board

Answer 1

Take an online test Take Now

Login

Studyrankersonline

Ask a Question

The diagonal of a rectangular board is 1 m and its length is 96 cm.

0votes

782 views

asked Jun 13, 2019 in Class VII Maths by muskan15 Expert (38.0k points)

The diagonal of a rectangular board is 1 m and its length is 96 cm. Find the area of the board.

mensuration

Please log in or register to answer this question.

1 Answer

0votes

answered Jun 13, 2019 by navnit40 Expert (40.5k points)

Length of diagonal (AB) = 96 cm

Diagonal (AC) = 1 m = 100 cm



In right – angled triangle ABC,

By applying Pythagoras Theorem,

(AC)2 = (AB)2 + (BC)2

= (100)2 = (96)2 + BC2

10000 = 9216 + BC2

10000 – 9216 = BC2

√784 = BC

∴ BC = 28 cm

Area of rectangular board

= l × b or AB × BC

= 96 × 28 = 2688 cm2